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Finding the Fourth Proportional to 2,754.70, 4,132.46 and 905.47

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Solution

The fourth proportional to 2,754.70, 4,132.46 and 905.47 is: 1,358.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,754.70 : 4,132.46 = 905.47 : x
  2. Step 2: Convert to fraction form
    2,754.70/4,132.46 = 905.47/x
  3. Step 3: Cross multiply
    2,754.70x = 4,132.46 × 905.47
  4. Step 4: Simplify right side
    2,754.70x = 3,741,818.56
  5. Step 5: Solve for x
    x = 3,741,818.56/2,754.70
  6. Step 6: Final answer
    x = 1,358.34

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1.5x scale

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.