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Finding the Fourth Proportional to 13,398.48, 20,084.22 and 9,691.65

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Solution

The fourth proportional to 13,398.48, 20,084.22 and 9,691.65 is: 14,527.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,398.48 : 20,084.22 = 9,691.65 : x
  2. Step 2: Convert to fraction form
    13,398.48/20,084.22 = 9,691.65/x
  3. Step 3: Cross multiply
    13,398.48x = 20,084.22 × 9,691.65
  4. Step 4: Simplify right side
    13,398.48x = 194,649,230.76
  5. Step 5: Solve for x
    x = 194,649,230.76/13,398.48
  6. Step 6: Final answer
    x = 14,527.71

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1.5x scale

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.