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Finding the Fourth Proportional to 3,278.12, 4,917.30 and 969.80

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Solution

The fourth proportional to 3,278.12, 4,917.30 and 969.80 is: 1,454.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,278.12 : 4,917.30 = 969.80 : x
  2. Step 2: Convert to fraction form
    3,278.12/4,917.30 = 969.80/x
  3. Step 3: Cross multiply
    3,278.12x = 4,917.30 × 969.80
  4. Step 4: Simplify right side
    3,278.12x = 4,768,797.54
  5. Step 5: Solve for x
    x = 4,768,797.54/3,278.12
  6. Step 6: Final answer
    x = 1,454.74

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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.