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Finding the Fourth Proportional to 2,488.91, 3,733.76 and 757.13

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Solution

The fourth proportional to 2,488.91, 3,733.76 and 757.13 is: 1,135.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,488.91 : 3,733.76 = 757.13 : x
  2. Step 2: Convert to fraction form
    2,488.91/3,733.76 = 757.13/x
  3. Step 3: Cross multiply
    2,488.91x = 3,733.76 × 757.13
  4. Step 4: Simplify right side
    2,488.91x = 2,826,924.93
  5. Step 5: Solve for x
    x = 2,826,924.93/2,488.91
  6. Step 6: Final answer
    x = 1,135.81

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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.