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Finding the Fourth Proportional to 8,531.88, 11,770.53 and 5,661.96

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Solution

The fourth proportional to 8,531.88, 11,770.53 and 5,661.96 is: 7,811.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,531.88 : 11,770.53 = 5,661.96 : x
  2. Step 2: Convert to fraction form
    8,531.88/11,770.53 = 5,661.96/x
  3. Step 3: Cross multiply
    8,531.88x = 11,770.53 × 5,661.96
  4. Step 4: Simplify right side
    8,531.88x = 66,644,281.49
  5. Step 5: Solve for x
    x = 66,644,281.49/8,531.88
  6. Step 6: Final answer
    x = 7,811.20

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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.