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Finding the Fourth Proportional to 1,836.84, 2,754.93 and 1,147.78

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Solution

The fourth proportional to 1,836.84, 2,754.93 and 1,147.78 is: 1,721.46

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,836.84 : 2,754.93 = 1,147.78 : x
  2. Step 2: Convert to fraction form
    1,836.84/2,754.93 = 1,147.78/x
  3. Step 3: Cross multiply
    1,836.84x = 2,754.93 × 1,147.78
  4. Step 4: Simplify right side
    1,836.84x = 3,162,053.56
  5. Step 5: Solve for x
    x = 3,162,053.56/1,836.84
  6. Step 6: Final answer
    x = 1,721.46

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.