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Finding the Fourth Proportional to 13,761.10, 20,642.52 and 3,901.16

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Solution

The fourth proportional to 13,761.10, 20,642.52 and 3,901.16 is: 5,851.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,761.10 : 20,642.52 = 3,901.16 : x
  2. Step 2: Convert to fraction form
    13,761.10/20,642.52 = 3,901.16/x
  3. Step 3: Cross multiply
    13,761.10x = 20,642.52 × 3,901.16
  4. Step 4: Simplify right side
    13,761.10x = 80,529,773.32
  5. Step 5: Solve for x
    x = 80,529,773.32/13,761.10
  6. Step 6: Final answer
    x = 5,851.99

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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.