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Finding the Fourth Proportional to 2,399.22, 3,599.74 and 939.38

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Solution

The fourth proportional to 2,399.22, 3,599.74 and 939.38 is: 1,409.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.22 : 3,599.74 = 939.38 : x
  2. Step 2: Convert to fraction form
    2,399.22/3,599.74 = 939.38/x
  3. Step 3: Cross multiply
    2,399.22x = 3,599.74 × 939.38
  4. Step 4: Simplify right side
    2,399.22x = 3,381,523.76
  5. Step 5: Solve for x
    x = 3,381,523.76/2,399.22
  6. Step 6: Final answer
    x = 1,409.43

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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.