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Finding the Fourth Proportional to 13,721.71, 20,567.03 and 6,310.87

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Solution

The fourth proportional to 13,721.71, 20,567.03 and 6,310.87 is: 9,459.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,721.71 : 20,567.03 = 6,310.87 : x
  2. Step 2: Convert to fraction form
    13,721.71/20,567.03 = 6,310.87/x
  3. Step 3: Cross multiply
    13,721.71x = 20,567.03 × 6,310.87
  4. Step 4: Simplify right side
    13,721.71x = 129,795,718.23
  5. Step 5: Solve for x
    x = 129,795,718.23/13,721.71
  6. Step 6: Final answer
    x = 9,459.15

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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.