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Finding the Fourth Proportional to 2,689.78, 4,033.29 and 934.60

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Solution

The fourth proportional to 2,689.78, 4,033.29 and 934.60 is: 1,401.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,689.78 : 4,033.29 = 934.60 : x
  2. Step 2: Convert to fraction form
    2,689.78/4,033.29 = 934.60/x
  3. Step 3: Cross multiply
    2,689.78x = 4,033.29 × 934.60
  4. Step 4: Simplify right side
    2,689.78x = 3,769,512.83
  5. Step 5: Solve for x
    x = 3,769,512.83/2,689.78
  6. Step 6: Final answer
    x = 1,401.42

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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.