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Finding the Fourth Proportional to 21,976.62, 32,959.76 and 8,649.14

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Solution

The fourth proportional to 21,976.62, 32,959.76 and 8,649.14 is: 12,971.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,976.62 : 32,959.76 = 8,649.14 : x
  2. Step 2: Convert to fraction form
    21,976.62/32,959.76 = 8,649.14/x
  3. Step 3: Cross multiply
    21,976.62x = 32,959.76 × 8,649.14
  4. Step 4: Simplify right side
    21,976.62x = 285,073,578.61
  5. Step 5: Solve for x
    x = 285,073,578.61/21,976.62
  6. Step 6: Final answer
    x = 12,971.68

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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.