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Finding the Fourth Proportional to 12,221.67, 16,839.86 and 8,235.87

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Solution

The fourth proportional to 12,221.67, 16,839.86 and 8,235.87 is: 11,347.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,221.67 : 16,839.86 = 8,235.87 : x
  2. Step 2: Convert to fraction form
    12,221.67/16,839.86 = 8,235.87/x
  3. Step 3: Cross multiply
    12,221.67x = 16,839.86 × 8,235.87
  4. Step 4: Simplify right side
    12,221.67x = 138,690,897.78
  5. Step 5: Solve for x
    x = 138,690,897.78/12,221.67
  6. Step 6: Final answer
    x = 11,347.95

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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.