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Finding the Fourth Proportional to 22,761, 34,147.58 and 7,178.63

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Solution

The fourth proportional to 22,761, 34,147.58 and 7,178.63 is: 10,769.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,761 : 34,147.58 = 7,178.63 : x
  2. Step 2: Convert to fraction form
    22,761/34,147.58 = 7,178.63/x
  3. Step 3: Cross multiply
    22,761x = 34,147.58 × 7,178.63
  4. Step 4: Simplify right side
    22,761x = 245,132,635.58
  5. Step 5: Solve for x
    x = 245,132,635.58/22,761
  6. Step 6: Final answer
    x = 10,769.85

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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.