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Finding the Fourth Proportional to 5,865.85, 8,091.15 and 3,849.40

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Solution

The fourth proportional to 5,865.85, 8,091.15 and 3,849.40 is: 5,309.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,865.85 : 8,091.15 = 3,849.40 : x
  2. Step 2: Convert to fraction form
    5,865.85/8,091.15 = 3,849.40/x
  3. Step 3: Cross multiply
    5,865.85x = 8,091.15 × 3,849.40
  4. Step 4: Simplify right side
    5,865.85x = 31,146,062.70
  5. Step 5: Solve for x
    x = 31,146,062.70/5,865.85
  6. Step 6: Final answer
    x = 5,309.72

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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.