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Finding the Fourth Proportional to 1,841.72, 2,763.14 and 543.20

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Solution

The fourth proportional to 1,841.72, 2,763.14 and 543.20 is: 814.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,841.72 : 2,763.14 = 543.20 : x
  2. Step 2: Convert to fraction form
    1,841.72/2,763.14 = 543.20/x
  3. Step 3: Cross multiply
    1,841.72x = 2,763.14 × 543.20
  4. Step 4: Simplify right side
    1,841.72x = 1,500,921.12
  5. Step 5: Solve for x
    x = 1,500,921.12/1,841.72
  6. Step 6: Final answer
    x = 814.96

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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.