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Finding the Fourth Proportional to 2,648.98, 3,647.26 and 2,249.78

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Solution

The fourth proportional to 2,648.98, 3,647.26 and 2,249.78 is: 3,097.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,648.98 : 3,647.26 = 2,249.78 : x
  2. Step 2: Convert to fraction form
    2,648.98/3,647.26 = 2,249.78/x
  3. Step 3: Cross multiply
    2,648.98x = 3,647.26 × 2,249.78
  4. Step 4: Simplify right side
    2,648.98x = 8,205,536.44
  5. Step 5: Solve for x
    x = 8,205,536.44/2,648.98
  6. Step 6: Final answer
    x = 3,097.62

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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.