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Finding the Fourth Proportional to 6,458.26, 8,913.84 and 4,099.96

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Solution

The fourth proportional to 6,458.26, 8,913.84 and 4,099.96 is: 5,658.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,458.26 : 8,913.84 = 4,099.96 : x
  2. Step 2: Convert to fraction form
    6,458.26/8,913.84 = 4,099.96/x
  3. Step 3: Cross multiply
    6,458.26x = 8,913.84 × 4,099.96
  4. Step 4: Simplify right side
    6,458.26x = 36,546,387.45
  5. Step 5: Solve for x
    x = 36,546,387.45/6,458.26
  6. Step 6: Final answer
    x = 5,658.86

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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.