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Finding the Fourth Proportional to 2,898.38, 3,999.78 and 2,234

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Solution

The fourth proportional to 2,898.38, 3,999.78 and 2,234 is: 3,082.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,898.38 : 3,999.78 = 2,234 : x
  2. Step 2: Convert to fraction form
    2,898.38/3,999.78 = 2,234/x
  3. Step 3: Cross multiply
    2,898.38x = 3,999.78 × 2,234
  4. Step 4: Simplify right side
    2,898.38x = 8,935,508.52
  5. Step 5: Solve for x
    x = 8,935,508.52/2,898.38
  6. Step 6: Final answer
    x = 3,082.93

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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.