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Finding the Fourth Proportional to 3,947.76, 5,922.18 and 1,350

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Solution

The fourth proportional to 3,947.76, 5,922.18 and 1,350 is: 2,025.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,947.76 : 5,922.18 = 1,350 : x
  2. Step 2: Convert to fraction form
    3,947.76/5,922.18 = 1,350/x
  3. Step 3: Cross multiply
    3,947.76x = 5,922.18 × 1,350
  4. Step 4: Simplify right side
    3,947.76x = 7,994,943
  5. Step 5: Solve for x
    x = 7,994,943/3,947.76
  6. Step 6: Final answer
    x = 2,025.18

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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.