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Finding the Fourth Proportional to 7,151.63, 10,729.80 and 2,769.12

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Solution

The fourth proportional to 7,151.63, 10,729.80 and 2,769.12 is: 4,154.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,151.63 : 10,729.80 = 2,769.12 : x
  2. Step 2: Convert to fraction form
    7,151.63/10,729.80 = 2,769.12/x
  3. Step 3: Cross multiply
    7,151.63x = 10,729.80 × 2,769.12
  4. Step 4: Simplify right side
    7,151.63x = 29,712,103.78
  5. Step 5: Solve for x
    x = 29,712,103.78/7,151.63
  6. Step 6: Final answer
    x = 4,154.59

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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.