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Finding the Fourth Proportional to 2,200, 3,034.08 and 1,314.28

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Solution

The fourth proportional to 2,200, 3,034.08 and 1,314.28 is: 1,812.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,200 : 3,034.08 = 1,314.28 : x
  2. Step 2: Convert to fraction form
    2,200/3,034.08 = 1,314.28/x
  3. Step 3: Cross multiply
    2,200x = 3,034.08 × 1,314.28
  4. Step 4: Simplify right side
    2,200x = 3,987,630.66
  5. Step 5: Solve for x
    x = 3,987,630.66/2,200
  6. Step 6: Final answer
    x = 1,812.56

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.