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Finding the Fourth Proportional to 15,167.76, 22,757.04 and 7,775.70

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Solution

The fourth proportional to 15,167.76, 22,757.04 and 7,775.70 is: 11,666.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,167.76 : 22,757.04 = 7,775.70 : x
  2. Step 2: Convert to fraction form
    15,167.76/22,757.04 = 7,775.70/x
  3. Step 3: Cross multiply
    15,167.76x = 22,757.04 × 7,775.70
  4. Step 4: Simplify right side
    15,167.76x = 176,951,915.93
  5. Step 5: Solve for x
    x = 176,951,915.93/15,167.76
  6. Step 6: Final answer
    x = 11,666.32

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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.