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Finding the Fourth Proportional to 2,713.29, 4,067.20 and 1,069.20

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Solution

The fourth proportional to 2,713.29, 4,067.20 and 1,069.20 is: 1,602.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,713.29 : 4,067.20 = 1,069.20 : x
  2. Step 2: Convert to fraction form
    2,713.29/4,067.20 = 1,069.20/x
  3. Step 3: Cross multiply
    2,713.29x = 4,067.20 × 1,069.20
  4. Step 4: Simplify right side
    2,713.29x = 4,348,650.24
  5. Step 5: Solve for x
    x = 4,348,650.24/2,713.29
  6. Step 6: Final answer
    x = 1,602.72

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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.