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Finding the Fourth Proportional to 6,242.78, 8,617.48 and 3,853.10

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Solution

The fourth proportional to 6,242.78, 8,617.48 and 3,853.10 is: 5,318.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,242.78 : 8,617.48 = 3,853.10 : x
  2. Step 2: Convert to fraction form
    6,242.78/8,617.48 = 3,853.10/x
  3. Step 3: Cross multiply
    6,242.78x = 8,617.48 × 3,853.10
  4. Step 4: Simplify right side
    6,242.78x = 33,204,012.19
  5. Step 5: Solve for x
    x = 33,204,012.19/6,242.78
  6. Step 6: Final answer
    x = 5,318.79

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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.