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Finding the Fourth Proportional to 3,410.95, 5,113.17 and 1,947.28

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Solution

The fourth proportional to 3,410.95, 5,113.17 and 1,947.28 is: 2,919.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,410.95 : 5,113.17 = 1,947.28 : x
  2. Step 2: Convert to fraction form
    3,410.95/5,113.17 = 1,947.28/x
  3. Step 3: Cross multiply
    3,410.95x = 5,113.17 × 1,947.28
  4. Step 4: Simplify right side
    3,410.95x = 9,956,773.68
  5. Step 5: Solve for x
    x = 9,956,773.68/3,410.95
  6. Step 6: Final answer
    x = 2,919.06

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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.