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Finding the Fourth Proportional to 2,898.72, 3,996 and 2,198.88

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Solution

The fourth proportional to 2,898.72, 3,996 and 2,198.88 is: 3,031.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.72 : 3,996 = 2,198.88 : x
  2. Step 2: Convert to fraction form
    2,898.72/3,996 = 2,198.88/x
  3. Step 3: Cross multiply
    2,898.72x = 3,996 × 2,198.88
  4. Step 4: Simplify right side
    2,898.72x = 8,786,724.48
  5. Step 5: Solve for x
    x = 8,786,724.48/2,898.72
  6. Step 6: Final answer
    x = 3,031.24

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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.