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Finding the Fourth Proportional to 2,712.97, 4,069.61 and 765.32

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Solution

The fourth proportional to 2,712.97, 4,069.61 and 765.32 is: 1,148.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.97 : 4,069.61 = 765.32 : x
  2. Step 2: Convert to fraction form
    2,712.97/4,069.61 = 765.32/x
  3. Step 3: Cross multiply
    2,712.97x = 4,069.61 × 765.32
  4. Step 4: Simplify right side
    2,712.97x = 3,114,553.93
  5. Step 5: Solve for x
    x = 3,114,553.93/2,712.97
  6. Step 6: Final answer
    x = 1,148.02

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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.