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Finding the Fourth Proportional to 1,789.90, 2,470.11 and 1,003.97

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Solution

The fourth proportional to 1,789.90, 2,470.11 and 1,003.97 is: 1,385.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,789.90 : 2,470.11 = 1,003.97 : x
  2. Step 2: Convert to fraction form
    1,789.90/2,470.11 = 1,003.97/x
  3. Step 3: Cross multiply
    1,789.90x = 2,470.11 × 1,003.97
  4. Step 4: Simplify right side
    1,789.90x = 2,479,916.34
  5. Step 5: Solve for x
    x = 2,479,916.34/1,789.90
  6. Step 6: Final answer
    x = 1,385.51

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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.