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Finding the Fourth Proportional to 2,186.97, 3,280.37 and 543.53

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Solution

The fourth proportional to 2,186.97, 3,280.37 and 543.53 is: 815.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.97 : 3,280.37 = 543.53 : x
  2. Step 2: Convert to fraction form
    2,186.97/3,280.37 = 543.53/x
  3. Step 3: Cross multiply
    2,186.97x = 3,280.37 × 543.53
  4. Step 4: Simplify right side
    2,186.97x = 1,782,966.54
  5. Step 5: Solve for x
    x = 1,782,966.54/2,186.97
  6. Step 6: Final answer
    x = 815.27

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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.