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Finding the Fourth Proportional to 2,311.74, 3,467.17 and 751.75

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Solution

The fourth proportional to 2,311.74, 3,467.17 and 751.75 is: 1,127.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.74 : 3,467.17 = 751.75 : x
  2. Step 2: Convert to fraction form
    2,311.74/3,467.17 = 751.75/x
  3. Step 3: Cross multiply
    2,311.74x = 3,467.17 × 751.75
  4. Step 4: Simplify right side
    2,311.74x = 2,606,437.32
  5. Step 5: Solve for x
    x = 2,606,437.32/2,311.74
  6. Step 6: Final answer
    x = 1,127.48

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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.