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Finding the Fourth Proportional to 2,186.60, 3,279.90 and 543.14

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Solution

The fourth proportional to 2,186.60, 3,279.90 and 543.14 is: 814.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.60 : 3,279.90 = 543.14 : x
  2. Step 2: Convert to fraction form
    2,186.60/3,279.90 = 543.14/x
  3. Step 3: Cross multiply
    2,186.60x = 3,279.90 × 543.14
  4. Step 4: Simplify right side
    2,186.60x = 1,781,444.89
  5. Step 5: Solve for x
    x = 1,781,444.89/2,186.60
  6. Step 6: Final answer
    x = 814.71

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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.