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Finding the Fourth Proportional to 13,691.76, 20,440.38 and 13,205.76

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Solution

The fourth proportional to 13,691.76, 20,440.38 and 13,205.76 is: 19,714.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.76 : 20,440.38 = 13,205.76 : x
  2. Step 2: Convert to fraction form
    13,691.76/20,440.38 = 13,205.76/x
  3. Step 3: Cross multiply
    13,691.76x = 20,440.38 × 13,205.76
  4. Step 4: Simplify right side
    13,691.76x = 269,930,752.59
  5. Step 5: Solve for x
    x = 269,930,752.59/13,691.76
  6. Step 6: Final answer
    x = 19,714.83

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.