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Finding the Fourth Proportional to 6,377.44, 8,798.32 and 3,986

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Solution

The fourth proportional to 6,377.44, 8,798.32 and 3,986 is: 5,499.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,377.44 : 8,798.32 = 3,986 : x
  2. Step 2: Convert to fraction form
    6,377.44/8,798.32 = 3,986/x
  3. Step 3: Cross multiply
    6,377.44x = 8,798.32 × 3,986
  4. Step 4: Simplify right side
    6,377.44x = 35,070,103.52
  5. Step 5: Solve for x
    x = 35,070,103.52/6,377.44
  6. Step 6: Final answer
    x = 5,499.09

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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.