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Finding the Fourth Proportional to 7,947.04, 11,920.42 and 3,269.20

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Solution

The fourth proportional to 7,947.04, 11,920.42 and 3,269.20 is: 4,903.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.04 : 11,920.42 = 3,269.20 : x
  2. Step 2: Convert to fraction form
    7,947.04/11,920.42 = 3,269.20/x
  3. Step 3: Cross multiply
    7,947.04x = 11,920.42 × 3,269.20
  4. Step 4: Simplify right side
    7,947.04x = 38,970,237.06
  5. Step 5: Solve for x
    x = 38,970,237.06/7,947.04
  6. Step 6: Final answer
    x = 4,903.74

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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.