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Finding the Fourth Proportional to 17,687.28, 26,536.68 and 8,454

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Solution

The fourth proportional to 17,687.28, 26,536.68 and 8,454 is: 12,683.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,687.28 : 26,536.68 = 8,454 : x
  2. Step 2: Convert to fraction form
    17,687.28/26,536.68 = 8,454/x
  3. Step 3: Cross multiply
    17,687.28x = 26,536.68 × 8,454
  4. Step 4: Simplify right side
    17,687.28x = 224,341,092.72
  5. Step 5: Solve for x
    x = 224,341,092.72/17,687.28
  6. Step 6: Final answer
    x = 12,683.75

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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.