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Finding the Fourth Proportional to 17,645.76, 26,447.04 and 8,280

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Solution

The fourth proportional to 17,645.76, 26,447.04 and 8,280 is: 12,409.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,645.76 : 26,447.04 = 8,280 : x
  2. Step 2: Convert to fraction form
    17,645.76/26,447.04 = 8,280/x
  3. Step 3: Cross multiply
    17,645.76x = 26,447.04 × 8,280
  4. Step 4: Simplify right side
    17,645.76x = 218,981,491.20
  5. Step 5: Solve for x
    x = 218,981,491.20/17,645.76
  6. Step 6: Final answer
    x = 12,409.86

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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.