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Finding the Fourth Proportional to 42,539.56, 63,809.34 and 11,374

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Solution

The fourth proportional to 42,539.56, 63,809.34 and 11,374 is: 17,061

Step by Step Solution

  1. Step 1: Write the proportion equation
    42,539.56 : 63,809.34 = 11,374 : x
  2. Step 2: Convert to fraction form
    42,539.56/63,809.34 = 11,374/x
  3. Step 3: Cross multiply
    42,539.56x = 63,809.34 × 11,374
  4. Step 4: Simplify right side
    42,539.56x = 725,767,433.16
  5. Step 5: Solve for x
    x = 725,767,433.16/42,539.56
  6. Step 6: Final answer
    x = 17,061

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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.