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Finding the Fourth Proportional to 42,647.52, 63,974.88 and 11,484.48

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Solution

The fourth proportional to 42,647.52, 63,974.88 and 11,484.48 is: 17,227.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,647.52 : 63,974.88 = 11,484.48 : x
  2. Step 2: Convert to fraction form
    42,647.52/63,974.88 = 11,484.48/x
  3. Step 3: Cross multiply
    42,647.52x = 63,974.88 × 11,484.48
  4. Step 4: Simplify right side
    42,647.52x = 734,718,229.86
  5. Step 5: Solve for x
    x = 734,718,229.86/42,647.52
  6. Step 6: Final answer
    x = 17,227.69

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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.