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Finding the Fourth Proportional to 12,873.92, 19,314.78 and 5,381.12

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Solution

The fourth proportional to 12,873.92, 19,314.78 and 5,381.12 is: 8,073.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,873.92 : 19,314.78 = 5,381.12 : x
  2. Step 2: Convert to fraction form
    12,873.92/19,314.78 = 5,381.12/x
  3. Step 3: Cross multiply
    12,873.92x = 19,314.78 × 5,381.12
  4. Step 4: Simplify right side
    12,873.92x = 103,935,052.38
  5. Step 5: Solve for x
    x = 103,935,052.38/12,873.92
  6. Step 6: Final answer
    x = 8,073.31

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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.