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Finding the Fourth Proportional to 2,748.60, 4,122.86 and 668.62

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Solution

The fourth proportional to 2,748.60, 4,122.86 and 668.62 is: 1,002.92

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,748.60 : 4,122.86 = 668.62 : x
  2. Step 2: Convert to fraction form
    2,748.60/4,122.86 = 668.62/x
  3. Step 3: Cross multiply
    2,748.60x = 4,122.86 × 668.62
  4. Step 4: Simplify right side
    2,748.60x = 2,756,626.65
  5. Step 5: Solve for x
    x = 2,756,626.65/2,748.60
  6. Step 6: Final answer
    x = 1,002.92

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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.