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Finding the Fourth Proportional to 2,311.68, 3,467.84 and 751.18

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Solution

The fourth proportional to 2,311.68, 3,467.84 and 751.18 is: 1,126.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,311.68 : 3,467.84 = 751.18 : x
  2. Step 2: Convert to fraction form
    2,311.68/3,467.84 = 751.18/x
  3. Step 3: Cross multiply
    2,311.68x = 3,467.84 × 751.18
  4. Step 4: Simplify right side
    2,311.68x = 2,604,972.05
  5. Step 5: Solve for x
    x = 2,604,972.05/2,311.68
  6. Step 6: Final answer
    x = 1,126.88

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1.5x scale

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.