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Finding the Fourth Proportional to 3,292.71, 4,542.78 and 1,965.93

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Solution

The fourth proportional to 3,292.71, 4,542.78 and 1,965.93 is: 2,712.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,292.71 : 4,542.78 = 1,965.93 : x
  2. Step 2: Convert to fraction form
    3,292.71/4,542.78 = 1,965.93/x
  3. Step 3: Cross multiply
    3,292.71x = 4,542.78 × 1,965.93
  4. Step 4: Simplify right side
    3,292.71x = 8,930,787.49
  5. Step 5: Solve for x
    x = 8,930,787.49/3,292.71
  6. Step 6: Final answer
    x = 2,712.29

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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.