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Finding the Fourth Proportional to 6,433.92, 8,878.38 and 3,600.80

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Solution

The fourth proportional to 6,433.92, 8,878.38 and 3,600.80 is: 4,968.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,433.92 : 8,878.38 = 3,600.80 : x
  2. Step 2: Convert to fraction form
    6,433.92/8,878.38 = 3,600.80/x
  3. Step 3: Cross multiply
    6,433.92x = 8,878.38 × 3,600.80
  4. Step 4: Simplify right side
    6,433.92x = 31,969,270.70
  5. Step 5: Solve for x
    x = 31,969,270.70/6,433.92
  6. Step 6: Final answer
    x = 4,968.86

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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.