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Finding the Fourth Proportional to 13,807.50, 20,713.14 and 6,414

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Solution

The fourth proportional to 13,807.50, 20,713.14 and 6,414 is: 9,621.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,807.50 : 20,713.14 = 6,414 : x
  2. Step 2: Convert to fraction form
    13,807.50/20,713.14 = 6,414/x
  3. Step 3: Cross multiply
    13,807.50x = 20,713.14 × 6,414
  4. Step 4: Simplify right side
    13,807.50x = 132,854,079.96
  5. Step 5: Solve for x
    x = 132,854,079.96/13,807.50
  6. Step 6: Final answer
    x = 9,621.88

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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.