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Finding the Fourth Proportional to 13,691.77, 20,506.20 and 8,693.78

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Solution

The fourth proportional to 13,691.77, 20,506.20 and 8,693.78 is: 13,020.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,691.77 : 20,506.20 = 8,693.78 : x
  2. Step 2: Convert to fraction form
    13,691.77/20,506.20 = 8,693.78/x
  3. Step 3: Cross multiply
    13,691.77x = 20,506.20 × 8,693.78
  4. Step 4: Simplify right side
    13,691.77x = 178,276,391.44
  5. Step 5: Solve for x
    x = 178,276,391.44/13,691.77
  6. Step 6: Final answer
    x = 13,020.70

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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.