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Finding the Fourth Proportional to 7,793.81, 10,755.14 and 4,257.15

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Solution

The fourth proportional to 7,793.81, 10,755.14 and 4,257.15 is: 5,874.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,793.81 : 10,755.14 = 4,257.15 : x
  2. Step 2: Convert to fraction form
    7,793.81/10,755.14 = 4,257.15/x
  3. Step 3: Cross multiply
    7,793.81x = 10,755.14 × 4,257.15
  4. Step 4: Simplify right side
    7,793.81x = 45,786,244.25
  5. Step 5: Solve for x
    x = 45,786,244.25/7,793.81
  6. Step 6: Final answer
    x = 5,874.69

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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.