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Finding the Fourth Proportional to 2,000.75, 2,760.86 and 1,254.47

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Solution

The fourth proportional to 2,000.75, 2,760.86 and 1,254.47 is: 1,731.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,000.75 : 2,760.86 = 1,254.47 : x
  2. Step 2: Convert to fraction form
    2,000.75/2,760.86 = 1,254.47/x
  3. Step 3: Cross multiply
    2,000.75x = 2,760.86 × 1,254.47
  4. Step 4: Simplify right side
    2,000.75x = 3,463,409.77
  5. Step 5: Solve for x
    x = 3,463,409.77/2,000.75
  6. Step 6: Final answer
    x = 1,731.06

Related Problems

Find fourth proportional to 1,000.38, 1,380.43 and 627.24
Half scale
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Double scale
Find fourth proportional to 2,001.75, 2,762.23 and 1,255.47
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.