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Finding the Fourth Proportional to 18,578, 27,871.32 and 13,374.56

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Solution

The fourth proportional to 18,578, 27,871.32 and 13,374.56 is: 20,064.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,578 : 27,871.32 = 13,374.56 : x
  2. Step 2: Convert to fraction form
    18,578/27,871.32 = 13,374.56/x
  3. Step 3: Cross multiply
    18,578x = 27,871.32 × 13,374.56
  4. Step 4: Simplify right side
    18,578x = 372,766,641.62
  5. Step 5: Solve for x
    x = 372,766,641.62/18,578
  6. Step 6: Final answer
    x = 20,064.95

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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.