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Finding the Fourth Proportional to 2,794.92, 3,857.05 and 1,536

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Solution

The fourth proportional to 2,794.92, 3,857.05 and 1,536 is: 2,119.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,794.92 : 3,857.05 = 1,536 : x
  2. Step 2: Convert to fraction form
    2,794.92/3,857.05 = 1,536/x
  3. Step 3: Cross multiply
    2,794.92x = 3,857.05 × 1,536
  4. Step 4: Simplify right side
    2,794.92x = 5,924,428.80
  5. Step 5: Solve for x
    x = 5,924,428.80/2,794.92
  6. Step 6: Final answer
    x = 2,119.71

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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.