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Finding the Fourth Proportional to 5,179.76, 7,769.76 and 4,778.60

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Solution

The fourth proportional to 5,179.76, 7,769.76 and 4,778.60 is: 7,168.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,179.76 : 7,769.76 = 4,778.60 : x
  2. Step 2: Convert to fraction form
    5,179.76/7,769.76 = 4,778.60/x
  3. Step 3: Cross multiply
    5,179.76x = 7,769.76 × 4,778.60
  4. Step 4: Simplify right side
    5,179.76x = 37,128,575.14
  5. Step 5: Solve for x
    x = 37,128,575.14/5,179.76
  6. Step 6: Final answer
    x = 7,168.01

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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.