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Finding the Fourth Proportional to 6,377.96, 8,801.78 and 3,860.53

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Solution

The fourth proportional to 6,377.96, 8,801.78 and 3,860.53 is: 5,327.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.96 : 8,801.78 = 3,860.53 : x
  2. Step 2: Convert to fraction form
    6,377.96/8,801.78 = 3,860.53/x
  3. Step 3: Cross multiply
    6,377.96x = 8,801.78 × 3,860.53
  4. Step 4: Simplify right side
    6,377.96x = 33,979,535.74
  5. Step 5: Solve for x
    x = 33,979,535.74/6,377.96
  6. Step 6: Final answer
    x = 5,327.65

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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.