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Finding the Fourth Proportional to 7,691.31, 11,540.16 and 3,686.67

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Solution

The fourth proportional to 7,691.31, 11,540.16 and 3,686.67 is: 5,531.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,691.31 : 11,540.16 = 3,686.67 : x
  2. Step 2: Convert to fraction form
    7,691.31/11,540.16 = 3,686.67/x
  3. Step 3: Cross multiply
    7,691.31x = 11,540.16 × 3,686.67
  4. Step 4: Simplify right side
    7,691.31x = 42,544,761.67
  5. Step 5: Solve for x
    x = 42,544,761.67/7,691.31
  6. Step 6: Final answer
    x = 5,531.54

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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.