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Finding the Fourth Proportional to 2,674.60, 4,012.10 and 726.76

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Solution

The fourth proportional to 2,674.60, 4,012.10 and 726.76 is: 1,090.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,674.60 : 4,012.10 = 726.76 : x
  2. Step 2: Convert to fraction form
    2,674.60/4,012.10 = 726.76/x
  3. Step 3: Cross multiply
    2,674.60x = 4,012.10 × 726.76
  4. Step 4: Simplify right side
    2,674.60x = 2,915,833.80
  5. Step 5: Solve for x
    x = 2,915,833.80/2,674.60
  6. Step 6: Final answer
    x = 1,090.19

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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.