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Finding the Fourth Proportional to 11,681.76, 17,531.05 and 4,657.71

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Solution

The fourth proportional to 11,681.76, 17,531.05 and 4,657.71 is: 6,989.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,681.76 : 17,531.05 = 4,657.71 : x
  2. Step 2: Convert to fraction form
    11,681.76/17,531.05 = 4,657.71/x
  3. Step 3: Cross multiply
    11,681.76x = 17,531.05 × 4,657.71
  4. Step 4: Simplify right side
    11,681.76x = 81,654,546.90
  5. Step 5: Solve for x
    x = 81,654,546.90/11,681.76
  6. Step 6: Final answer
    x = 6,989.92

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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.