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Finding the Fourth Proportional to 2,697.88, 4,046.28 and 749.65

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Solution

The fourth proportional to 2,697.88, 4,046.28 and 749.65 is: 1,124.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,697.88 : 4,046.28 = 749.65 : x
  2. Step 2: Convert to fraction form
    2,697.88/4,046.28 = 749.65/x
  3. Step 3: Cross multiply
    2,697.88x = 4,046.28 × 749.65
  4. Step 4: Simplify right side
    2,697.88x = 3,033,293.80
  5. Step 5: Solve for x
    x = 3,033,293.80/2,697.88
  6. Step 6: Final answer
    x = 1,124.32

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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.