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Finding the Fourth Proportional to 21,446.87, 32,176.38 and 8,972.87

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Solution

The fourth proportional to 21,446.87, 32,176.38 and 8,972.87 is: 13,461.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,446.87 : 32,176.38 = 8,972.87 : x
  2. Step 2: Convert to fraction form
    21,446.87/32,176.38 = 8,972.87/x
  3. Step 3: Cross multiply
    21,446.87x = 32,176.38 × 8,972.87
  4. Step 4: Simplify right side
    21,446.87x = 288,714,474.81
  5. Step 5: Solve for x
    x = 288,714,474.81/21,446.87
  6. Step 6: Final answer
    x = 13,461.85

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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.