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Finding the Fourth Proportional to 6,266.44, 8,644.98 and 3,781

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Solution

The fourth proportional to 6,266.44, 8,644.98 and 3,781 is: 5,216.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,266.44 : 8,644.98 = 3,781 : x
  2. Step 2: Convert to fraction form
    6,266.44/8,644.98 = 3,781/x
  3. Step 3: Cross multiply
    6,266.44x = 8,644.98 × 3,781
  4. Step 4: Simplify right side
    6,266.44x = 32,686,669.38
  5. Step 5: Solve for x
    x = 32,686,669.38/6,266.44
  6. Step 6: Final answer
    x = 5,216.15

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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.