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Finding the Fourth Proportional to 2,174.99, 3,001.46 and 1,290.80

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Solution

The fourth proportional to 2,174.99, 3,001.46 and 1,290.80 is: 1,781.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.99 : 3,001.46 = 1,290.80 : x
  2. Step 2: Convert to fraction form
    2,174.99/3,001.46 = 1,290.80/x
  3. Step 3: Cross multiply
    2,174.99x = 3,001.46 × 1,290.80
  4. Step 4: Simplify right side
    2,174.99x = 3,874,285.62
  5. Step 5: Solve for x
    x = 3,874,285.62/2,174.99
  6. Step 6: Final answer
    x = 1,781.29

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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.