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Finding the Fourth Proportional to 2,399.92, 3,311.92 and 1,352

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Solution

The fourth proportional to 2,399.92, 3,311.92 and 1,352 is: 1,865.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,399.92 : 3,311.92 = 1,352 : x
  2. Step 2: Convert to fraction form
    2,399.92/3,311.92 = 1,352/x
  3. Step 3: Cross multiply
    2,399.92x = 3,311.92 × 1,352
  4. Step 4: Simplify right side
    2,399.92x = 4,477,715.84
  5. Step 5: Solve for x
    x = 4,477,715.84/2,399.92
  6. Step 6: Final answer
    x = 1,865.78

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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.