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Finding the Fourth Proportional to 2,712.95, 4,069.52 and 765.20

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Solution

The fourth proportional to 2,712.95, 4,069.52 and 765.20 is: 1,147.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,712.95 : 4,069.52 = 765.20 : x
  2. Step 2: Convert to fraction form
    2,712.95/4,069.52 = 765.20/x
  3. Step 3: Cross multiply
    2,712.95x = 4,069.52 × 765.20
  4. Step 4: Simplify right side
    2,712.95x = 3,113,994.79
  5. Step 5: Solve for x
    x = 3,113,994.79/2,712.95
  6. Step 6: Final answer
    x = 1,147.83

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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.