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Finding the Fourth Proportional to 7,691.76, 11,537.12 and 2,761.12

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Solution

The fourth proportional to 7,691.76, 11,537.12 and 2,761.12 is: 4,141.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.76 : 11,537.12 = 2,761.12 : x
  2. Step 2: Convert to fraction form
    7,691.76/11,537.12 = 2,761.12/x
  3. Step 3: Cross multiply
    7,691.76x = 11,537.12 × 2,761.12
  4. Step 4: Simplify right side
    7,691.76x = 31,855,372.77
  5. Step 5: Solve for x
    x = 31,855,372.77/7,691.76
  6. Step 6: Final answer
    x = 4,141.49

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1.5x scale

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.