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Finding the Fourth Proportional to 3,633.40, 5,450.10 and 2,649.40

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Solution

The fourth proportional to 3,633.40, 5,450.10 and 2,649.40 is: 3,974.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,633.40 : 5,450.10 = 2,649.40 : x
  2. Step 2: Convert to fraction form
    3,633.40/5,450.10 = 2,649.40/x
  3. Step 3: Cross multiply
    3,633.40x = 5,450.10 × 2,649.40
  4. Step 4: Simplify right side
    3,633.40x = 14,439,494.94
  5. Step 5: Solve for x
    x = 14,439,494.94/3,633.40
  6. Step 6: Final answer
    x = 3,974.10

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1.5x scale

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.