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Finding the Fourth Proportional to 22,900, 34,345.12 and 18,542.20

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Solution

The fourth proportional to 22,900, 34,345.12 and 18,542.20 is: 27,809.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,900 : 34,345.12 = 18,542.20 : x
  2. Step 2: Convert to fraction form
    22,900/34,345.12 = 18,542.20/x
  3. Step 3: Cross multiply
    22,900x = 34,345.12 × 18,542.20
  4. Step 4: Simplify right side
    22,900x = 636,834,084.06
  5. Step 5: Solve for x
    x = 636,834,084.06/22,900
  6. Step 6: Final answer
    x = 27,809.35

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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.