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Finding the Fourth Proportional to 3,319.68, 4,978.76 and 979.85

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Solution

The fourth proportional to 3,319.68, 4,978.76 and 979.85 is: 1,469.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,319.68 : 4,978.76 = 979.85 : x
  2. Step 2: Convert to fraction form
    3,319.68/4,978.76 = 979.85/x
  3. Step 3: Cross multiply
    3,319.68x = 4,978.76 × 979.85
  4. Step 4: Simplify right side
    3,319.68x = 4,878,408.19
  5. Step 5: Solve for x
    x = 4,878,408.19/3,319.68
  6. Step 6: Final answer
    x = 1,469.54

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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.