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Finding the Fourth Proportional to 15,781.55, 21,789.55 and 9,815.90

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Solution

The fourth proportional to 15,781.55, 21,789.55 and 9,815.90 is: 13,552.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,781.55 : 21,789.55 = 9,815.90 : x
  2. Step 2: Convert to fraction form
    15,781.55/21,789.55 = 9,815.90/x
  3. Step 3: Cross multiply
    15,781.55x = 21,789.55 × 9,815.90
  4. Step 4: Simplify right side
    15,781.55x = 213,884,122.86
  5. Step 5: Solve for x
    x = 213,884,122.86/15,781.55
  6. Step 6: Final answer
    x = 13,552.79

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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.