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Finding the Fourth Proportional to 2,713.44, 4,069.80 and 765.80

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Solution

The fourth proportional to 2,713.44, 4,069.80 and 765.80 is: 1,148.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.44 : 4,069.80 = 765.80 : x
  2. Step 2: Convert to fraction form
    2,713.44/4,069.80 = 765.80/x
  3. Step 3: Cross multiply
    2,713.44x = 4,069.80 × 765.80
  4. Step 4: Simplify right side
    2,713.44x = 3,116,632.49
  5. Step 5: Solve for x
    x = 3,116,632.49/2,713.44
  6. Step 6: Final answer
    x = 1,148.59

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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.