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Finding the Fourth Proportional to 2,713.12, 4,069.74 and 765.28

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Solution

The fourth proportional to 2,713.12, 4,069.74 and 765.28 is: 1,147.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.12 : 4,069.74 = 765.28 : x
  2. Step 2: Convert to fraction form
    2,713.12/4,069.74 = 765.28/x
  3. Step 3: Cross multiply
    2,713.12x = 4,069.74 × 765.28
  4. Step 4: Simplify right side
    2,713.12x = 3,114,490.63
  5. Step 5: Solve for x
    x = 3,114,490.63/2,713.12
  6. Step 6: Final answer
    x = 1,147.94

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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.