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Finding the Fourth Proportional to 2,669.38, 4,004.09 and 938

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Solution

The fourth proportional to 2,669.38, 4,004.09 and 938 is: 1,407.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,669.38 : 4,004.09 = 938 : x
  2. Step 2: Convert to fraction form
    2,669.38/4,004.09 = 938/x
  3. Step 3: Cross multiply
    2,669.38x = 4,004.09 × 938
  4. Step 4: Simplify right side
    2,669.38x = 3,755,836.42
  5. Step 5: Solve for x
    x = 3,755,836.42/2,669.38
  6. Step 6: Final answer
    x = 1,407.01

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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.