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Finding the Fourth Proportional to 7,129.76, 10,691.88 and 2,971.72

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Solution

The fourth proportional to 7,129.76, 10,691.88 and 2,971.72 is: 4,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,129.76 : 10,691.88 = 2,971.72 : x
  2. Step 2: Convert to fraction form
    7,129.76/10,691.88 = 2,971.72/x
  3. Step 3: Cross multiply
    7,129.76x = 10,691.88 × 2,971.72
  4. Step 4: Simplify right side
    7,129.76x = 31,773,273.63
  5. Step 5: Solve for x
    x = 31,773,273.63/7,129.76
  6. Step 6: Final answer
    x = 4,456.43

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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.