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Finding the Fourth Proportional to 2,674.92, 4,011.89 and 726.65

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Solution

The fourth proportional to 2,674.92, 4,011.89 and 726.65 is: 1,089.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.92 : 4,011.89 = 726.65 : x
  2. Step 2: Convert to fraction form
    2,674.92/4,011.89 = 726.65/x
  3. Step 3: Cross multiply
    2,674.92x = 4,011.89 × 726.65
  4. Step 4: Simplify right side
    2,674.92x = 2,915,216.18
  5. Step 5: Solve for x
    x = 2,915,216.18/2,674.92
  6. Step 6: Final answer
    x = 1,089.83

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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.