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Finding the Fourth Proportional to 14,807.91, 20,442 and 8,759.18

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Solution

The fourth proportional to 14,807.91, 20,442 and 8,759.18 is: 12,091.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,807.91 : 20,442 = 8,759.18 : x
  2. Step 2: Convert to fraction form
    14,807.91/20,442 = 8,759.18/x
  3. Step 3: Cross multiply
    14,807.91x = 20,442 × 8,759.18
  4. Step 4: Simplify right side
    14,807.91x = 179,055,055.35
  5. Step 5: Solve for x
    x = 179,055,055.35/14,807.91
  6. Step 6: Final answer
    x = 12,091.85

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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.