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Finding the Fourth Proportional to 2,211.92, 3,318.74 and 751.08

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Solution

The fourth proportional to 2,211.92, 3,318.74 and 751.08 is: 1,126.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,211.92 : 3,318.74 = 751.08 : x
  2. Step 2: Convert to fraction form
    2,211.92/3,318.74 = 751.08/x
  3. Step 3: Cross multiply
    2,211.92x = 3,318.74 × 751.08
  4. Step 4: Simplify right side
    2,211.92x = 2,492,639.24
  5. Step 5: Solve for x
    x = 2,492,639.24/2,211.92
  6. Step 6: Final answer
    x = 1,126.91

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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.