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Finding the Fourth Proportional to 18,387, 25,374.24 and 10,003.68

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Solution

The fourth proportional to 18,387, 25,374.24 and 10,003.68 is: 13,805.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,387 : 25,374.24 = 10,003.68 : x
  2. Step 2: Convert to fraction form
    18,387/25,374.24 = 10,003.68/x
  3. Step 3: Cross multiply
    18,387x = 25,374.24 × 10,003.68
  4. Step 4: Simplify right side
    18,387x = 253,835,777.20
  5. Step 5: Solve for x
    x = 253,835,777.20/18,387
  6. Step 6: Final answer
    x = 13,805.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.