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Finding the Fourth Proportional to 3,108.96, 4,672.08 and 1,649.88

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Solution

The fourth proportional to 3,108.96, 4,672.08 and 1,649.88 is: 2,479.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,108.96 : 4,672.08 = 1,649.88 : x
  2. Step 2: Convert to fraction form
    3,108.96/4,672.08 = 1,649.88/x
  3. Step 3: Cross multiply
    3,108.96x = 4,672.08 × 1,649.88
  4. Step 4: Simplify right side
    3,108.96x = 7,708,371.35
  5. Step 5: Solve for x
    x = 7,708,371.35/3,108.96
  6. Step 6: Final answer
    x = 2,479.41

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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.