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Finding the Fourth Proportional to 2,751.24, 4,126.88 and 699.24

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Solution

The fourth proportional to 2,751.24, 4,126.88 and 699.24 is: 1,048.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,751.24 : 4,126.88 = 699.24 : x
  2. Step 2: Convert to fraction form
    2,751.24/4,126.88 = 699.24/x
  3. Step 3: Cross multiply
    2,751.24x = 4,126.88 × 699.24
  4. Step 4: Simplify right side
    2,751.24x = 2,885,679.57
  5. Step 5: Solve for x
    x = 2,885,679.57/2,751.24
  6. Step 6: Final answer
    x = 1,048.87

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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.