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Finding the Fourth Proportional to 14,616.38, 20,171.80 and 8,242.64

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Solution

The fourth proportional to 14,616.38, 20,171.80 and 8,242.64 is: 11,375.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,616.38 : 20,171.80 = 8,242.64 : x
  2. Step 2: Convert to fraction form
    14,616.38/20,171.80 = 8,242.64/x
  3. Step 3: Cross multiply
    14,616.38x = 20,171.80 × 8,242.64
  4. Step 4: Simplify right side
    14,616.38x = 166,268,885.55
  5. Step 5: Solve for x
    x = 166,268,885.55/14,616.38
  6. Step 6: Final answer
    x = 11,375.52

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1.5x scale

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.