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Finding the Fourth Proportional to 2,270, 3,132.42 and 1,274.96

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Solution

The fourth proportional to 2,270, 3,132.42 and 1,274.96 is: 1,759.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,270 : 3,132.42 = 1,274.96 : x
  2. Step 2: Convert to fraction form
    2,270/3,132.42 = 1,274.96/x
  3. Step 3: Cross multiply
    2,270x = 3,132.42 × 1,274.96
  4. Step 4: Simplify right side
    2,270x = 3,993,710.20
  5. Step 5: Solve for x
    x = 3,993,710.20/2,270
  6. Step 6: Final answer
    x = 1,759.34

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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.