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Finding the Fourth Proportional to 2,175.26, 3,262.88 and 531.82

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Solution

The fourth proportional to 2,175.26, 3,262.88 and 531.82 is: 797.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,175.26 : 3,262.88 = 531.82 : x
  2. Step 2: Convert to fraction form
    2,175.26/3,262.88 = 531.82/x
  3. Step 3: Cross multiply
    2,175.26x = 3,262.88 × 531.82
  4. Step 4: Simplify right side
    2,175.26x = 1,735,264.84
  5. Step 5: Solve for x
    x = 1,735,264.84/2,175.26
  6. Step 6: Final answer
    x = 797.73

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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.