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Finding the Fourth Proportional to 7,947.82, 11,921.82 and 2,401.21

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Solution

The fourth proportional to 7,947.82, 11,921.82 and 2,401.21 is: 3,601.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,947.82 : 11,921.82 = 2,401.21 : x
  2. Step 2: Convert to fraction form
    7,947.82/11,921.82 = 2,401.21/x
  3. Step 3: Cross multiply
    7,947.82x = 11,921.82 × 2,401.21
  4. Step 4: Simplify right side
    7,947.82x = 28,626,793.40
  5. Step 5: Solve for x
    x = 28,626,793.40/7,947.82
  6. Step 6: Final answer
    x = 3,601.84

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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.