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Finding the Fourth Proportional to 14,822, 20,454.92 and 8,449.60

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Solution

The fourth proportional to 14,822, 20,454.92 and 8,449.60 is: 11,660.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822 : 20,454.92 = 8,449.60 : x
  2. Step 2: Convert to fraction form
    14,822/20,454.92 = 8,449.60/x
  3. Step 3: Cross multiply
    14,822x = 20,454.92 × 8,449.60
  4. Step 4: Simplify right side
    14,822x = 172,835,892.03
  5. Step 5: Solve for x
    x = 172,835,892.03/14,822
  6. Step 6: Final answer
    x = 11,660.77

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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.