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Finding the Fourth Proportional to 1,990.99, 2,747.55 and 1,106.79

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Solution

The fourth proportional to 1,990.99, 2,747.55 and 1,106.79 is: 1,527.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,990.99 : 2,747.55 = 1,106.79 : x
  2. Step 2: Convert to fraction form
    1,990.99/2,747.55 = 1,106.79/x
  3. Step 3: Cross multiply
    1,990.99x = 2,747.55 × 1,106.79
  4. Step 4: Simplify right side
    1,990.99x = 3,040,960.86
  5. Step 5: Solve for x
    x = 3,040,960.86/1,990.99
  6. Step 6: Final answer
    x = 1,527.36

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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.