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Finding the Fourth Proportional to 22,593.78, 31,179.04 and 12,522.20

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Solution

The fourth proportional to 22,593.78, 31,179.04 and 12,522.20 is: 17,280.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,593.78 : 31,179.04 = 12,522.20 : x
  2. Step 2: Convert to fraction form
    22,593.78/31,179.04 = 12,522.20/x
  3. Step 3: Cross multiply
    22,593.78x = 31,179.04 × 12,522.20
  4. Step 4: Simplify right side
    22,593.78x = 390,429,987.49
  5. Step 5: Solve for x
    x = 390,429,987.49/22,593.78
  6. Step 6: Final answer
    x = 17,280.42

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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.