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Finding the Fourth Proportional to 2,674.43, 4,011.62 and 726.62

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Solution

The fourth proportional to 2,674.43, 4,011.62 and 726.62 is: 1,089.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.43 : 4,011.62 = 726.62 : x
  2. Step 2: Convert to fraction form
    2,674.43/4,011.62 = 726.62/x
  3. Step 3: Cross multiply
    2,674.43x = 4,011.62 × 726.62
  4. Step 4: Simplify right side
    2,674.43x = 2,914,899.63
  5. Step 5: Solve for x
    x = 2,914,899.63/2,674.43
  6. Step 6: Final answer
    x = 1,089.92

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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.