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Finding the Fourth Proportional to 5,134.15, 7,701.22 and 3,965.86

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Solution

The fourth proportional to 5,134.15, 7,701.22 and 3,965.86 is: 5,948.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,134.15 : 7,701.22 = 3,965.86 : x
  2. Step 2: Convert to fraction form
    5,134.15/7,701.22 = 3,965.86/x
  3. Step 3: Cross multiply
    5,134.15x = 7,701.22 × 3,965.86
  4. Step 4: Simplify right side
    5,134.15x = 30,541,960.35
  5. Step 5: Solve for x
    x = 30,541,960.35/5,134.15
  6. Step 6: Final answer
    x = 5,948.79

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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.