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Finding the Fourth Proportional to 2,499.70, 3,744.60 and 2,191.90

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Solution

The fourth proportional to 2,499.70, 3,744.60 and 2,191.90 is: 3,283.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,499.70 : 3,744.60 = 2,191.90 : x
  2. Step 2: Convert to fraction form
    2,499.70/3,744.60 = 2,191.90/x
  3. Step 3: Cross multiply
    2,499.70x = 3,744.60 × 2,191.90
  4. Step 4: Simplify right side
    2,499.70x = 8,207,788.74
  5. Step 5: Solve for x
    x = 8,207,788.74/2,499.70
  6. Step 6: Final answer
    x = 3,283.51

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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.