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Finding the Fourth Proportional to 22,117.52, 30,519 and 15,760.64

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Solution

The fourth proportional to 22,117.52, 30,519 and 15,760.64 is: 21,747.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,117.52 : 30,519 = 15,760.64 : x
  2. Step 2: Convert to fraction form
    22,117.52/30,519 = 15,760.64/x
  3. Step 3: Cross multiply
    22,117.52x = 30,519 × 15,760.64
  4. Step 4: Simplify right side
    22,117.52x = 480,998,972.16
  5. Step 5: Solve for x
    x = 480,998,972.16/22,117.52
  6. Step 6: Final answer
    x = 21,747.42

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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.