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Finding the Fourth Proportional to 6,388.48, 9,558.64 and 5,741

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Solution

The fourth proportional to 6,388.48, 9,558.64 and 5,741 is: 8,589.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,388.48 : 9,558.64 = 5,741 : x
  2. Step 2: Convert to fraction form
    6,388.48/9,558.64 = 5,741/x
  3. Step 3: Cross multiply
    6,388.48x = 9,558.64 × 5,741
  4. Step 4: Simplify right side
    6,388.48x = 54,876,152.24
  5. Step 5: Solve for x
    x = 54,876,152.24/6,388.48
  6. Step 6: Final answer
    x = 8,589.86

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.