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Finding the Fourth Proportional to 13,909.71, 20,849.98 and 5,139.03

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Solution

The fourth proportional to 13,909.71, 20,849.98 and 5,139.03 is: 7,703.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,909.71 : 20,849.98 = 5,139.03 : x
  2. Step 2: Convert to fraction form
    13,909.71/20,849.98 = 5,139.03/x
  3. Step 3: Cross multiply
    13,909.71x = 20,849.98 × 5,139.03
  4. Step 4: Simplify right side
    13,909.71x = 107,148,555.62
  5. Step 5: Solve for x
    x = 107,148,555.62/13,909.71
  6. Step 6: Final answer
    x = 7,703.15

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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.