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Finding the Fourth Proportional to 2,186.72, 3,280.02 and 543.23

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Solution

The fourth proportional to 2,186.72, 3,280.02 and 543.23 is: 814.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.72 : 3,280.02 = 543.23 : x
  2. Step 2: Convert to fraction form
    2,186.72/3,280.02 = 543.23/x
  3. Step 3: Cross multiply
    2,186.72x = 3,280.02 × 543.23
  4. Step 4: Simplify right side
    2,186.72x = 1,781,805.26
  5. Step 5: Solve for x
    x = 1,781,805.26/2,186.72
  6. Step 6: Final answer
    x = 814.83

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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.