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Finding the Fourth Proportional to 1,744.14, 2,406.78 and 997.86

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Solution

The fourth proportional to 1,744.14, 2,406.78 and 997.86 is: 1,376.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,744.14 : 2,406.78 = 997.86 : x
  2. Step 2: Convert to fraction form
    1,744.14/2,406.78 = 997.86/x
  3. Step 3: Cross multiply
    1,744.14x = 2,406.78 × 997.86
  4. Step 4: Simplify right side
    1,744.14x = 2,401,629.49
  5. Step 5: Solve for x
    x = 2,401,629.49/1,744.14
  6. Step 6: Final answer
    x = 1,376.97

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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.