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Finding the Fourth Proportional to 12,191.01, 18,282.87 and 4,398

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Solution

The fourth proportional to 12,191.01, 18,282.87 and 4,398 is: 6,595.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,191.01 : 18,282.87 = 4,398 : x
  2. Step 2: Convert to fraction form
    12,191.01/18,282.87 = 4,398/x
  3. Step 3: Cross multiply
    12,191.01x = 18,282.87 × 4,398
  4. Step 4: Simplify right side
    12,191.01x = 80,408,062.26
  5. Step 5: Solve for x
    x = 80,408,062.26/12,191.01
  6. Step 6: Final answer
    x = 6,595.69

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.