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Finding the Fourth Proportional to 12,101.32, 16,701.80 and 8,321.32

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Solution

The fourth proportional to 12,101.32, 16,701.80 and 8,321.32 is: 11,484.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,101.32 : 16,701.80 = 8,321.32 : x
  2. Step 2: Convert to fraction form
    12,101.32/16,701.80 = 8,321.32/x
  3. Step 3: Cross multiply
    12,101.32x = 16,701.80 × 8,321.32
  4. Step 4: Simplify right side
    12,101.32x = 138,981,022.38
  5. Step 5: Solve for x
    x = 138,981,022.38/12,101.32
  6. Step 6: Final answer
    x = 11,484.78

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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.