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Finding the Fourth Proportional to 15,909.90, 21,951.86 and 9,538.44

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Solution

The fourth proportional to 15,909.90, 21,951.86 and 9,538.44 is: 13,160.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,909.90 : 21,951.86 = 9,538.44 : x
  2. Step 2: Convert to fraction form
    15,909.90/21,951.86 = 9,538.44/x
  3. Step 3: Cross multiply
    15,909.90x = 21,951.86 × 9,538.44
  4. Step 4: Simplify right side
    15,909.90x = 209,386,451.81
  5. Step 5: Solve for x
    x = 209,386,451.81/15,909.90
  6. Step 6: Final answer
    x = 13,160.76

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.