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Finding the Fourth Proportional to 42,631.52, 63,965.70 and 22,887

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Solution

The fourth proportional to 42,631.52, 63,965.70 and 22,887 is: 34,340.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,631.52 : 63,965.70 = 22,887 : x
  2. Step 2: Convert to fraction form
    42,631.52/63,965.70 = 22,887/x
  3. Step 3: Cross multiply
    42,631.52x = 63,965.70 × 22,887
  4. Step 4: Simplify right side
    42,631.52x = 1,463,982,975.90
  5. Step 5: Solve for x
    x = 1,463,982,975.90/42,631.52
  6. Step 6: Final answer
    x = 34,340.39

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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.