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Finding the Fourth Proportional to 3,279, 4,919.46 and 970.56

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Solution

The fourth proportional to 3,279, 4,919.46 and 970.56 is: 1,456.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,279 : 4,919.46 = 970.56 : x
  2. Step 2: Convert to fraction form
    3,279/4,919.46 = 970.56/x
  3. Step 3: Cross multiply
    3,279x = 4,919.46 × 970.56
  4. Step 4: Simplify right side
    3,279x = 4,774,631.10
  5. Step 5: Solve for x
    x = 4,774,631.10/3,279
  6. Step 6: Final answer
    x = 1,456.12

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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.