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Finding the Fourth Proportional to 6,480.26, 8,943.21 and 3,647.90

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Solution

The fourth proportional to 6,480.26, 8,943.21 and 3,647.90 is: 5,034.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,480.26 : 8,943.21 = 3,647.90 : x
  2. Step 2: Convert to fraction form
    6,480.26/8,943.21 = 3,647.90/x
  3. Step 3: Cross multiply
    6,480.26x = 8,943.21 × 3,647.90
  4. Step 4: Simplify right side
    6,480.26x = 32,623,872.80
  5. Step 5: Solve for x
    x = 32,623,872.80/6,480.26
  6. Step 6: Final answer
    x = 5,034.35

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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.