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Finding the Fourth Proportional to 2,943.08, 4,414.61 and 751.81

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Solution

The fourth proportional to 2,943.08, 4,414.61 and 751.81 is: 1,127.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,943.08 : 4,414.61 = 751.81 : x
  2. Step 2: Convert to fraction form
    2,943.08/4,414.61 = 751.81/x
  3. Step 3: Cross multiply
    2,943.08x = 4,414.61 × 751.81
  4. Step 4: Simplify right side
    2,943.08x = 3,318,947.94
  5. Step 5: Solve for x
    x = 3,318,947.94/2,943.08
  6. Step 6: Final answer
    x = 1,127.71

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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.