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Finding the Fourth Proportional to 2,768.62, 4,152.84 and 688.62

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Solution

The fourth proportional to 2,768.62, 4,152.84 and 688.62 is: 1,032.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.62 : 4,152.84 = 688.62 : x
  2. Step 2: Convert to fraction form
    2,768.62/4,152.84 = 688.62/x
  3. Step 3: Cross multiply
    2,768.62x = 4,152.84 × 688.62
  4. Step 4: Simplify right side
    2,768.62x = 2,859,728.68
  5. Step 5: Solve for x
    x = 2,859,728.68/2,768.62
  6. Step 6: Final answer
    x = 1,032.91

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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.