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Finding the Fourth Proportional to 17,761.68, 26,622.27 and 8,978.04

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Solution

The fourth proportional to 17,761.68, 26,622.27 and 8,978.04 is: 13,456.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    17,761.68 : 26,622.27 = 8,978.04 : x
  2. Step 2: Convert to fraction form
    17,761.68/26,622.27 = 8,978.04/x
  3. Step 3: Cross multiply
    17,761.68x = 26,622.27 × 8,978.04
  4. Step 4: Simplify right side
    17,761.68x = 239,015,804.95
  5. Step 5: Solve for x
    x = 239,015,804.95/17,761.68
  6. Step 6: Final answer
    x = 13,456.82

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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.