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Finding the Fourth Proportional to 1,938, 2,903.16 and 961.12

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Solution

The fourth proportional to 1,938, 2,903.16 and 961.12 is: 1,439.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,938 : 2,903.16 = 961.12 : x
  2. Step 2: Convert to fraction form
    1,938/2,903.16 = 961.12/x
  3. Step 3: Cross multiply
    1,938x = 2,903.16 × 961.12
  4. Step 4: Simplify right side
    1,938x = 2,790,285.14
  5. Step 5: Solve for x
    x = 2,790,285.14/1,938
  6. Step 6: Final answer
    x = 1,439.78

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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.