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Finding the Fourth Proportional to 6,968.53, 9,616.49 and 3,781.76

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Solution

The fourth proportional to 6,968.53, 9,616.49 and 3,781.76 is: 5,218.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,968.53 : 9,616.49 = 3,781.76 : x
  2. Step 2: Convert to fraction form
    6,968.53/9,616.49 = 3,781.76/x
  3. Step 3: Cross multiply
    6,968.53x = 9,616.49 × 3,781.76
  4. Step 4: Simplify right side
    6,968.53x = 36,367,204.41
  5. Step 5: Solve for x
    x = 36,367,204.41/6,968.53
  6. Step 6: Final answer
    x = 5,218.78

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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.