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Finding the Fourth Proportional to 2,399.85, 3,599.78 and 2,144.70

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Solution

The fourth proportional to 2,399.85, 3,599.78 and 2,144.70 is: 3,217.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.85 : 3,599.78 = 2,144.70 : x
  2. Step 2: Convert to fraction form
    2,399.85/3,599.78 = 2,144.70/x
  3. Step 3: Cross multiply
    2,399.85x = 3,599.78 × 2,144.70
  4. Step 4: Simplify right side
    2,399.85x = 7,720,437.44
  5. Step 5: Solve for x
    x = 7,720,437.44/2,399.85
  6. Step 6: Final answer
    x = 3,217.05

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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.