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Finding the Fourth Proportional to 2,174.50, 2,990.49 and 1,727.14

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Solution

The fourth proportional to 2,174.50, 2,990.49 and 1,727.14 is: 2,375.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.50 : 2,990.49 = 1,727.14 : x
  2. Step 2: Convert to fraction form
    2,174.50/2,990.49 = 1,727.14/x
  3. Step 3: Cross multiply
    2,174.50x = 2,990.49 × 1,727.14
  4. Step 4: Simplify right side
    2,174.50x = 5,164,994.90
  5. Step 5: Solve for x
    x = 5,164,994.90/2,174.50
  6. Step 6: Final answer
    x = 2,375.26

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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.