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Finding the Fourth Proportional to 7,781.76, 11,672.12 and 2,516.66

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Solution

The fourth proportional to 7,781.76, 11,672.12 and 2,516.66 is: 3,774.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,781.76 : 11,672.12 = 2,516.66 : x
  2. Step 2: Convert to fraction form
    7,781.76/11,672.12 = 2,516.66/x
  3. Step 3: Cross multiply
    7,781.76x = 11,672.12 × 2,516.66
  4. Step 4: Simplify right side
    7,781.76x = 29,374,686.58
  5. Step 5: Solve for x
    x = 29,374,686.58/7,781.76
  6. Step 6: Final answer
    x = 3,774.81

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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.