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Finding the Fourth Proportional to 1,438.97, 1,983.49 and 1,189.89

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Solution

The fourth proportional to 1,438.97, 1,983.49 and 1,189.89 is: 1,640.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,438.97 : 1,983.49 = 1,189.89 : x
  2. Step 2: Convert to fraction form
    1,438.97/1,983.49 = 1,189.89/x
  3. Step 3: Cross multiply
    1,438.97x = 1,983.49 × 1,189.89
  4. Step 4: Simplify right side
    1,438.97x = 2,360,131.94
  5. Step 5: Solve for x
    x = 2,360,131.94/1,438.97
  6. Step 6: Final answer
    x = 1,640.16

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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.