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Finding the Fourth Proportional to 2,002.50, 3,003.75 and 848.52

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Solution

The fourth proportional to 2,002.50, 3,003.75 and 848.52 is: 1,272.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,002.50 : 3,003.75 = 848.52 : x
  2. Step 2: Convert to fraction form
    2,002.50/3,003.75 = 848.52/x
  3. Step 3: Cross multiply
    2,002.50x = 3,003.75 × 848.52
  4. Step 4: Simplify right side
    2,002.50x = 2,548,741.95
  5. Step 5: Solve for x
    x = 2,548,741.95/2,002.50
  6. Step 6: Final answer
    x = 1,272.78

Related Problems

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Half scale
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Double scale
Find fourth proportional to 2,003.50, 3,005.25 and 849.52
Similar ratio
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.