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Finding the Fourth Proportional to 2,616.95, 3,921.78 and 1,966.93

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Solution

The fourth proportional to 2,616.95, 3,921.78 and 1,966.93 is: 2,947.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,616.95 : 3,921.78 = 1,966.93 : x
  2. Step 2: Convert to fraction form
    2,616.95/3,921.78 = 1,966.93/x
  3. Step 3: Cross multiply
    2,616.95x = 3,921.78 × 1,966.93
  4. Step 4: Simplify right side
    2,616.95x = 7,713,847.13
  5. Step 5: Solve for x
    x = 7,713,847.13/2,616.95
  6. Step 6: Final answer
    x = 2,947.65

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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.