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Finding the Fourth Proportional to 2,186.52, 3,279.70 and 543.02

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Solution

The fourth proportional to 2,186.52, 3,279.70 and 543.02 is: 814.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,186.52 : 3,279.70 = 543.02 : x
  2. Step 2: Convert to fraction form
    2,186.52/3,279.70 = 543.02/x
  3. Step 3: Cross multiply
    2,186.52x = 3,279.70 × 543.02
  4. Step 4: Simplify right side
    2,186.52x = 1,780,942.69
  5. Step 5: Solve for x
    x = 1,780,942.69/2,186.52
  6. Step 6: Final answer
    x = 814.51

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1.5x scale

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.