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Finding the Fourth Proportional to 6,200.38, 8,558 and 3,549.31

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Solution

The fourth proportional to 6,200.38, 8,558 and 3,549.31 is: 4,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,200.38 : 8,558 = 3,549.31 : x
  2. Step 2: Convert to fraction form
    6,200.38/8,558 = 3,549.31/x
  3. Step 3: Cross multiply
    6,200.38x = 8,558 × 3,549.31
  4. Step 4: Simplify right side
    6,200.38x = 30,374,994.98
  5. Step 5: Solve for x
    x = 30,374,994.98/6,200.38
  6. Step 6: Final answer
    x = 4,898.89

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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.