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Finding the Fourth Proportional to 6,649.58, 9,976.08 and 2,489.65

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Solution

The fourth proportional to 6,649.58, 9,976.08 and 2,489.65 is: 3,735.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,649.58 : 9,976.08 = 2,489.65 : x
  2. Step 2: Convert to fraction form
    6,649.58/9,976.08 = 2,489.65/x
  3. Step 3: Cross multiply
    6,649.58x = 9,976.08 × 2,489.65
  4. Step 4: Simplify right side
    6,649.58x = 24,836,947.57
  5. Step 5: Solve for x
    x = 24,836,947.57/6,649.58
  6. Step 6: Final answer
    x = 3,735.12

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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.