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Finding the Fourth Proportional to 39,661, 54,732.18 and 22,894

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Solution

The fourth proportional to 39,661, 54,732.18 and 22,894 is: 31,593.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,661 : 54,732.18 = 22,894 : x
  2. Step 2: Convert to fraction form
    39,661/54,732.18 = 22,894/x
  3. Step 3: Cross multiply
    39,661x = 54,732.18 × 22,894
  4. Step 4: Simplify right side
    39,661x = 1,253,038,528.92
  5. Step 5: Solve for x
    x = 1,253,038,528.92/39,661
  6. Step 6: Final answer
    x = 31,593.72

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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.