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Finding the Fourth Proportional to 2,701.90, 4,052.86 and 754.10

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Solution

The fourth proportional to 2,701.90, 4,052.86 and 754.10 is: 1,131.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,701.90 : 4,052.86 = 754.10 : x
  2. Step 2: Convert to fraction form
    2,701.90/4,052.86 = 754.10/x
  3. Step 3: Cross multiply
    2,701.90x = 4,052.86 × 754.10
  4. Step 4: Simplify right side
    2,701.90x = 3,056,239.58
  5. Step 5: Solve for x
    x = 3,056,239.58/2,701.90
  6. Step 6: Final answer
    x = 1,131.15

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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.