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Finding the Fourth Proportional to 41,154.52, 61,731.78 and 9,989.56

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Solution

The fourth proportional to 41,154.52, 61,731.78 and 9,989.56 is: 14,984.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    41,154.52 : 61,731.78 = 9,989.56 : x
  2. Step 2: Convert to fraction form
    41,154.52/61,731.78 = 9,989.56/x
  3. Step 3: Cross multiply
    41,154.52x = 61,731.78 × 9,989.56
  4. Step 4: Simplify right side
    41,154.52x = 616,673,320.22
  5. Step 5: Solve for x
    x = 616,673,320.22/41,154.52
  6. Step 6: Final answer
    x = 14,984.34

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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.