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Finding the Fourth Proportional to 8,610.80, 11,881.06 and 5,631

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Solution

The fourth proportional to 8,610.80, 11,881.06 and 5,631 is: 7,769.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,610.80 : 11,881.06 = 5,631 : x
  2. Step 2: Convert to fraction form
    8,610.80/11,881.06 = 5,631/x
  3. Step 3: Cross multiply
    8,610.80x = 11,881.06 × 5,631
  4. Step 4: Simplify right side
    8,610.80x = 66,902,248.86
  5. Step 5: Solve for x
    x = 66,902,248.86/8,610.80
  6. Step 6: Final answer
    x = 7,769.57

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.