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Finding the Fourth Proportional to 21,981.76, 32,976.96 and 8,130.88

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Solution

The fourth proportional to 21,981.76, 32,976.96 and 8,130.88 is: 12,197.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,981.76 : 32,976.96 = 8,130.88 : x
  2. Step 2: Convert to fraction form
    21,981.76/32,976.96 = 8,130.88/x
  3. Step 3: Cross multiply
    21,981.76x = 32,976.96 × 8,130.88
  4. Step 4: Simplify right side
    21,981.76x = 268,131,704.52
  5. Step 5: Solve for x
    x = 268,131,704.52/21,981.76
  6. Step 6: Final answer
    x = 12,197.92

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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.