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Finding the Fourth Proportional to 2,797.68, 4,196.61 and 849.88

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Solution

The fourth proportional to 2,797.68, 4,196.61 and 849.88 is: 1,274.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,797.68 : 4,196.61 = 849.88 : x
  2. Step 2: Convert to fraction form
    2,797.68/4,196.61 = 849.88/x
  3. Step 3: Cross multiply
    2,797.68x = 4,196.61 × 849.88
  4. Step 4: Simplify right side
    2,797.68x = 3,566,593.92
  5. Step 5: Solve for x
    x = 3,566,593.92/2,797.68
  6. Step 6: Final answer
    x = 1,274.84

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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.