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Finding the Fourth Proportional to 2,754.80, 4,132.54 and 906.12

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Solution

The fourth proportional to 2,754.80, 4,132.54 and 906.12 is: 1,359.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.80 : 4,132.54 = 906.12 : x
  2. Step 2: Convert to fraction form
    2,754.80/4,132.54 = 906.12/x
  3. Step 3: Cross multiply
    2,754.80x = 4,132.54 × 906.12
  4. Step 4: Simplify right side
    2,754.80x = 3,744,577.14
  5. Step 5: Solve for x
    x = 3,744,577.14/2,754.80
  6. Step 6: Final answer
    x = 1,359.29

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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.