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Finding the Fourth Proportional to 13,821.16, 20,760.10 and 13,149.11

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Solution

The fourth proportional to 13,821.16, 20,760.10 and 13,149.11 is: 19,750.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,821.16 : 20,760.10 = 13,149.11 : x
  2. Step 2: Convert to fraction form
    13,821.16/20,760.10 = 13,149.11/x
  3. Step 3: Cross multiply
    13,821.16x = 20,760.10 × 13,149.11
  4. Step 4: Simplify right side
    13,821.16x = 272,976,799.15
  5. Step 5: Solve for x
    x = 272,976,799.15/13,821.16
  6. Step 6: Final answer
    x = 19,750.65

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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.