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Finding the Fourth Proportional to 2,665.92, 3,999.24 and 934.14

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Solution

The fourth proportional to 2,665.92, 3,999.24 and 934.14 is: 1,401.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,665.92 : 3,999.24 = 934.14 : x
  2. Step 2: Convert to fraction form
    2,665.92/3,999.24 = 934.14/x
  3. Step 3: Cross multiply
    2,665.92x = 3,999.24 × 934.14
  4. Step 4: Simplify right side
    2,665.92x = 3,735,850.05
  5. Step 5: Solve for x
    x = 3,735,850.05/2,665.92
  6. Step 6: Final answer
    x = 1,401.34

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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.