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Finding the Fourth Proportional to 3,550, 5,324.98 and 1,084.82

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Solution

The fourth proportional to 3,550, 5,324.98 and 1,084.82 is: 1,627.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,550 : 5,324.98 = 1,084.82 : x
  2. Step 2: Convert to fraction form
    3,550/5,324.98 = 1,084.82/x
  3. Step 3: Cross multiply
    3,550x = 5,324.98 × 1,084.82
  4. Step 4: Simplify right side
    3,550x = 5,776,644.80
  5. Step 5: Solve for x
    x = 5,776,644.80/3,550
  6. Step 6: Final answer
    x = 1,627.22

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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.