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Finding the Fourth Proportional to 3,898.01, 5,845.70 and 1,264.82

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Solution

The fourth proportional to 3,898.01, 5,845.70 and 1,264.82 is: 1,896.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,898.01 : 5,845.70 = 1,264.82 : x
  2. Step 2: Convert to fraction form
    3,898.01/5,845.70 = 1,264.82/x
  3. Step 3: Cross multiply
    3,898.01x = 5,845.70 × 1,264.82
  4. Step 4: Simplify right side
    3,898.01x = 7,393,732.21
  5. Step 5: Solve for x
    x = 7,393,732.21/3,898.01
  6. Step 6: Final answer
    x = 1,896.80

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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.