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Finding the Fourth Proportional to 2,393.10, 3,589.83 and 749.64

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Solution

The fourth proportional to 2,393.10, 3,589.83 and 749.64 is: 1,124.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,393.10 : 3,589.83 = 749.64 : x
  2. Step 2: Convert to fraction form
    2,393.10/3,589.83 = 749.64/x
  3. Step 3: Cross multiply
    2,393.10x = 3,589.83 × 749.64
  4. Step 4: Simplify right side
    2,393.10x = 2,691,080.16
  5. Step 5: Solve for x
    x = 2,691,080.16/2,393.10
  6. Step 6: Final answer
    x = 1,124.52

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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.