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Finding the Fourth Proportional to 3,968.92, 5,478 and 2,642.68

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Solution

The fourth proportional to 3,968.92, 5,478 and 2,642.68 is: 3,647.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,968.92 : 5,478 = 2,642.68 : x
  2. Step 2: Convert to fraction form
    3,968.92/5,478 = 2,642.68/x
  3. Step 3: Cross multiply
    3,968.92x = 5,478 × 2,642.68
  4. Step 4: Simplify right side
    3,968.92x = 14,476,601.04
  5. Step 5: Solve for x
    x = 14,476,601.04/3,968.92
  6. Step 6: Final answer
    x = 3,647.49

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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.