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Finding the Fourth Proportional to 1,791.34, 2,472.05 and 1,005.38

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Solution

The fourth proportional to 1,791.34, 2,472.05 and 1,005.38 is: 1,387.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,791.34 : 2,472.05 = 1,005.38 : x
  2. Step 2: Convert to fraction form
    1,791.34/2,472.05 = 1,005.38/x
  3. Step 3: Cross multiply
    1,791.34x = 2,472.05 × 1,005.38
  4. Step 4: Simplify right side
    1,791.34x = 2,485,349.63
  5. Step 5: Solve for x
    x = 2,485,349.63/1,791.34
  6. Step 6: Final answer
    x = 1,387.42

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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.