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Finding the Fourth Proportional to 3,860.82, 5,331.71 and 3,298

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Solution

The fourth proportional to 3,860.82, 5,331.71 and 3,298 is: 4,554.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,860.82 : 5,331.71 = 3,298 : x
  2. Step 2: Convert to fraction form
    3,860.82/5,331.71 = 3,298/x
  3. Step 3: Cross multiply
    3,860.82x = 5,331.71 × 3,298
  4. Step 4: Simplify right side
    3,860.82x = 17,583,963.09
  5. Step 5: Solve for x
    x = 17,583,963.09/3,860.82
  6. Step 6: Final answer
    x = 4,554.47

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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.