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Finding the Fourth Proportional to 21,381.60, 32,023.80 and 10,981.20

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Solution

The fourth proportional to 21,381.60, 32,023.80 and 10,981.20 is: 16,446.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,381.60 : 32,023.80 = 10,981.20 : x
  2. Step 2: Convert to fraction form
    21,381.60/32,023.80 = 10,981.20/x
  3. Step 3: Cross multiply
    21,381.60x = 32,023.80 × 10,981.20
  4. Step 4: Simplify right side
    21,381.60x = 351,659,752.56
  5. Step 5: Solve for x
    x = 351,659,752.56/21,381.60
  6. Step 6: Final answer
    x = 16,446.84

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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.