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Finding the Fourth Proportional to 14,686.96, 20,262.12 and 8,398

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Solution

The fourth proportional to 14,686.96, 20,262.12 and 8,398 is: 11,585.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,686.96 : 20,262.12 = 8,398 : x
  2. Step 2: Convert to fraction form
    14,686.96/20,262.12 = 8,398/x
  3. Step 3: Cross multiply
    14,686.96x = 20,262.12 × 8,398
  4. Step 4: Simplify right side
    14,686.96x = 170,161,283.76
  5. Step 5: Solve for x
    x = 170,161,283.76/14,686.96
  6. Step 6: Final answer
    x = 11,585.88

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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.