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Finding the Fourth Proportional to 3,176.76, 4,770.78 and 2,768.52

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Solution

The fourth proportional to 3,176.76, 4,770.78 and 2,768.52 is: 4,157.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,176.76 : 4,770.78 = 2,768.52 : x
  2. Step 2: Convert to fraction form
    3,176.76/4,770.78 = 2,768.52/x
  3. Step 3: Cross multiply
    3,176.76x = 4,770.78 × 2,768.52
  4. Step 4: Simplify right side
    3,176.76x = 13,207,999.85
  5. Step 5: Solve for x
    x = 13,207,999.85/3,176.76
  6. Step 6: Final answer
    x = 4,157.70

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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.