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Finding the Fourth Proportional to 6,617.71, 9,926.29 and 1,687.47

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Solution

The fourth proportional to 6,617.71, 9,926.29 and 1,687.47 is: 2,531.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,617.71 : 9,926.29 = 1,687.47 : x
  2. Step 2: Convert to fraction form
    6,617.71/9,926.29 = 1,687.47/x
  3. Step 3: Cross multiply
    6,617.71x = 9,926.29 × 1,687.47
  4. Step 4: Simplify right side
    6,617.71x = 16,750,316.59
  5. Step 5: Solve for x
    x = 16,750,316.59/6,617.71
  6. Step 6: Final answer
    x = 2,531.13

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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.