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Finding the Fourth Proportional to 6,418.84, 9,642.78 and 3,823.48

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Solution

The fourth proportional to 6,418.84, 9,642.78 and 3,823.48 is: 5,743.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,418.84 : 9,642.78 = 3,823.48 : x
  2. Step 2: Convert to fraction form
    6,418.84/9,642.78 = 3,823.48/x
  3. Step 3: Cross multiply
    6,418.84x = 9,642.78 × 3,823.48
  4. Step 4: Simplify right side
    6,418.84x = 36,868,976.47
  5. Step 5: Solve for x
    x = 36,868,976.47/6,418.84
  6. Step 6: Final answer
    x = 5,743.87

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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.