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Finding the Fourth Proportional to 5,179.78, 7,769.67 and 4,778.83

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Solution

The fourth proportional to 5,179.78, 7,769.67 and 4,778.83 is: 7,168.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.78 : 7,769.67 = 4,778.83 : x
  2. Step 2: Convert to fraction form
    5,179.78/7,769.67 = 4,778.83/x
  3. Step 3: Cross multiply
    5,179.78x = 7,769.67 × 4,778.83
  4. Step 4: Simplify right side
    5,179.78x = 37,129,869.34
  5. Step 5: Solve for x
    x = 37,129,869.34/5,179.78
  6. Step 6: Final answer
    x = 7,168.24

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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.