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Finding the Fourth Proportional to 36,431.92, 54,661.20 and 15,377.20

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Solution

The fourth proportional to 36,431.92, 54,661.20 and 15,377.20 is: 23,071.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    36,431.92 : 54,661.20 = 15,377.20 : x
  2. Step 2: Convert to fraction form
    36,431.92/54,661.20 = 15,377.20/x
  3. Step 3: Cross multiply
    36,431.92x = 54,661.20 × 15,377.20
  4. Step 4: Simplify right side
    36,431.92x = 840,536,204.64
  5. Step 5: Solve for x
    x = 840,536,204.64/36,431.92
  6. Step 6: Final answer
    x = 23,071.42

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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.