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Finding the Fourth Proportional to 2,392.92, 3,589.48 and 749.43

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Solution

The fourth proportional to 2,392.92, 3,589.48 and 749.43 is: 1,124.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.92 : 3,589.48 = 749.43 : x
  2. Step 2: Convert to fraction form
    2,392.92/3,589.48 = 749.43/x
  3. Step 3: Cross multiply
    2,392.92x = 3,589.48 × 749.43
  4. Step 4: Simplify right side
    2,392.92x = 2,690,064.00
  5. Step 5: Solve for x
    x = 2,690,064.00/2,392.92
  6. Step 6: Final answer
    x = 1,124.18

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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.