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Finding the Fourth Proportional to 2,392.93, 3,589.40 and 749.49

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Solution

The fourth proportional to 2,392.93, 3,589.40 and 749.49 is: 1,124.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.93 : 3,589.40 = 749.49 : x
  2. Step 2: Convert to fraction form
    2,392.93/3,589.40 = 749.49/x
  3. Step 3: Cross multiply
    2,392.93x = 3,589.40 × 749.49
  4. Step 4: Simplify right side
    2,392.93x = 2,690,219.41
  5. Step 5: Solve for x
    x = 2,690,219.41/2,392.93
  6. Step 6: Final answer
    x = 1,124.24

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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.