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Finding the Fourth Proportional to 1,601.87, 2,209.97 and 938.48

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Solution

The fourth proportional to 1,601.87, 2,209.97 and 938.48 is: 1,294.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,601.87 : 2,209.97 = 938.48 : x
  2. Step 2: Convert to fraction form
    1,601.87/2,209.97 = 938.48/x
  3. Step 3: Cross multiply
    1,601.87x = 2,209.97 × 938.48
  4. Step 4: Simplify right side
    1,601.87x = 2,074,007.95
  5. Step 5: Solve for x
    x = 2,074,007.95/1,601.87
  6. Step 6: Final answer
    x = 1,294.74

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.