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Finding the Fourth Proportional to 8,104.76, 12,157.13 and 1,948.76

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Solution

The fourth proportional to 8,104.76, 12,157.13 and 1,948.76 is: 2,923.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,104.76 : 12,157.13 = 1,948.76 : x
  2. Step 2: Convert to fraction form
    8,104.76/12,157.13 = 1,948.76/x
  3. Step 3: Cross multiply
    8,104.76x = 12,157.13 × 1,948.76
  4. Step 4: Simplify right side
    8,104.76x = 23,691,272.75
  5. Step 5: Solve for x
    x = 23,691,272.75/8,104.76
  6. Step 6: Final answer
    x = 2,923.13

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Similar ratio
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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.