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Finding the Fourth Proportional to 6,902.86, 9,515.19 and 5,781.82

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Solution

The fourth proportional to 6,902.86, 9,515.19 and 5,781.82 is: 7,969.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,902.86 : 9,515.19 = 5,781.82 : x
  2. Step 2: Convert to fraction form
    6,902.86/9,515.19 = 5,781.82/x
  3. Step 3: Cross multiply
    6,902.86x = 9,515.19 × 5,781.82
  4. Step 4: Simplify right side
    6,902.86x = 55,015,115.85
  5. Step 5: Solve for x
    x = 55,015,115.85/6,902.86
  6. Step 6: Final answer
    x = 7,969.90

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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.