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Finding the Fourth Proportional to 15,446, 21,316.92 and 8,822

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Solution

The fourth proportional to 15,446, 21,316.92 and 8,822 is: 12,175.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,446 : 21,316.92 = 8,822 : x
  2. Step 2: Convert to fraction form
    15,446/21,316.92 = 8,822/x
  3. Step 3: Cross multiply
    15,446x = 21,316.92 × 8,822
  4. Step 4: Simplify right side
    15,446x = 188,057,868.24
  5. Step 5: Solve for x
    x = 188,057,868.24/15,446
  6. Step 6: Final answer
    x = 12,175.18

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.