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Finding the Fourth Proportional to 2,180.31, 3,270.41 and 536.87

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Solution

The fourth proportional to 2,180.31, 3,270.41 and 536.87 is: 805.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,180.31 : 3,270.41 = 536.87 : x
  2. Step 2: Convert to fraction form
    2,180.31/3,270.41 = 536.87/x
  3. Step 3: Cross multiply
    2,180.31x = 3,270.41 × 536.87
  4. Step 4: Simplify right side
    2,180.31x = 1,755,794.53
  5. Step 5: Solve for x
    x = 1,755,794.53/2,180.31
  6. Step 6: Final answer
    x = 805.30

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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.