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Finding the Fourth Proportional to 38,755, 58,142.25 and 11,053

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Solution

The fourth proportional to 38,755, 58,142.25 and 11,053 is: 16,582.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    38,755 : 58,142.25 = 11,053 : x
  2. Step 2: Convert to fraction form
    38,755/58,142.25 = 11,053/x
  3. Step 3: Cross multiply
    38,755x = 58,142.25 × 11,053
  4. Step 4: Simplify right side
    38,755x = 642,646,289.25
  5. Step 5: Solve for x
    x = 642,646,289.25/38,755
  6. Step 6: Final answer
    x = 16,582.28

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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.