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Finding the Fourth Proportional to 3,762.70, 5,191.19 and 2,249.21

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Solution

The fourth proportional to 3,762.70, 5,191.19 and 2,249.21 is: 3,103.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,762.70 : 5,191.19 = 2,249.21 : x
  2. Step 2: Convert to fraction form
    3,762.70/5,191.19 = 2,249.21/x
  3. Step 3: Cross multiply
    3,762.70x = 5,191.19 × 2,249.21
  4. Step 4: Simplify right side
    3,762.70x = 11,676,061.08
  5. Step 5: Solve for x
    x = 11,676,061.08/3,762.70
  6. Step 6: Final answer
    x = 3,103.11

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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.