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Finding the Fourth Proportional to 14,620.38, 20,182.80 and 8,569.80

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Solution

The fourth proportional to 14,620.38, 20,182.80 and 8,569.80 is: 11,830.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,620.38 : 20,182.80 = 8,569.80 : x
  2. Step 2: Convert to fraction form
    14,620.38/20,182.80 = 8,569.80/x
  3. Step 3: Cross multiply
    14,620.38x = 20,182.80 × 8,569.80
  4. Step 4: Simplify right side
    14,620.38x = 172,962,559.44
  5. Step 5: Solve for x
    x = 172,962,559.44/14,620.38
  6. Step 6: Final answer
    x = 11,830.24

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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.