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Finding the Fourth Proportional to 6,976.52, 9,625.22 and 3,991.28

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Solution

The fourth proportional to 6,976.52, 9,625.22 and 3,991.28 is: 5,506.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,976.52 : 9,625.22 = 3,991.28 : x
  2. Step 2: Convert to fraction form
    6,976.52/9,625.22 = 3,991.28/x
  3. Step 3: Cross multiply
    6,976.52x = 9,625.22 × 3,991.28
  4. Step 4: Simplify right side
    6,976.52x = 38,416,948.08
  5. Step 5: Solve for x
    x = 38,416,948.08/6,976.52
  6. Step 6: Final answer
    x = 5,506.61

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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.