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Finding the Fourth Proportional to 22,003.60, 32,981.10 and 12,149.95

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Solution

The fourth proportional to 22,003.60, 32,981.10 and 12,149.95 is: 18,211.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    22,003.60 : 32,981.10 = 12,149.95 : x
  2. Step 2: Convert to fraction form
    22,003.60/32,981.10 = 12,149.95/x
  3. Step 3: Cross multiply
    22,003.60x = 32,981.10 × 12,149.95
  4. Step 4: Simplify right side
    22,003.60x = 400,718,715.95
  5. Step 5: Solve for x
    x = 400,718,715.95/22,003.60
  6. Step 6: Final answer
    x = 18,211.51

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1.5x scale

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.