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Finding the Fourth Proportional to 2,649.78, 3,651.48 and 2,230.20

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Solution

The fourth proportional to 2,649.78, 3,651.48 and 2,230.20 is: 3,073.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,649.78 : 3,651.48 = 2,230.20 : x
  2. Step 2: Convert to fraction form
    2,649.78/3,651.48 = 2,230.20/x
  3. Step 3: Cross multiply
    2,649.78x = 3,651.48 × 2,230.20
  4. Step 4: Simplify right side
    2,649.78x = 8,143,530.70
  5. Step 5: Solve for x
    x = 8,143,530.70/2,649.78
  6. Step 6: Final answer
    x = 3,073.29

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1.5x scale

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.