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Finding the Fourth Proportional to 3,947.35, 5,920.22 and 1,482.12

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Solution

The fourth proportional to 3,947.35, 5,920.22 and 1,482.12 is: 2,222.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.35 : 5,920.22 = 1,482.12 : x
  2. Step 2: Convert to fraction form
    3,947.35/5,920.22 = 1,482.12/x
  3. Step 3: Cross multiply
    3,947.35x = 5,920.22 × 1,482.12
  4. Step 4: Simplify right side
    3,947.35x = 8,774,476.47
  5. Step 5: Solve for x
    x = 8,774,476.47/3,947.35
  6. Step 6: Final answer
    x = 2,222.88

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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.