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Finding the Fourth Proportional to 15,084.86, 20,842.13 and 11,922.38

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Solution

The fourth proportional to 15,084.86, 20,842.13 and 11,922.38 is: 16,472.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,084.86 : 20,842.13 = 11,922.38 : x
  2. Step 2: Convert to fraction form
    15,084.86/20,842.13 = 11,922.38/x
  3. Step 3: Cross multiply
    15,084.86x = 20,842.13 × 11,922.38
  4. Step 4: Simplify right side
    15,084.86x = 248,487,793.87
  5. Step 5: Solve for x
    x = 248,487,793.87/15,084.86
  6. Step 6: Final answer
    x = 16,472.66

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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.