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Finding the Fourth Proportional to 42,285.28, 63,427.92 and 17,644

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Solution

The fourth proportional to 42,285.28, 63,427.92 and 17,644 is: 26,466

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,285.28 : 63,427.92 = 17,644 : x
  2. Step 2: Convert to fraction form
    42,285.28/63,427.92 = 17,644/x
  3. Step 3: Cross multiply
    42,285.28x = 63,427.92 × 17,644
  4. Step 4: Simplify right side
    42,285.28x = 1,119,122,220.48
  5. Step 5: Solve for x
    x = 1,119,122,220.48/42,285.28
  6. Step 6: Final answer
    x = 26,466

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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.