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Finding the Fourth Proportional to 39,376, 54,338.88 and 21,712

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Solution

The fourth proportional to 39,376, 54,338.88 and 21,712 is: 29,962.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    39,376 : 54,338.88 = 21,712 : x
  2. Step 2: Convert to fraction form
    39,376/54,338.88 = 21,712/x
  3. Step 3: Cross multiply
    39,376x = 54,338.88 × 21,712
  4. Step 4: Simplify right side
    39,376x = 1,179,805,762.56
  5. Step 5: Solve for x
    x = 1,179,805,762.56/39,376
  6. Step 6: Final answer
    x = 29,962.56

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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.