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Finding the Fourth Proportional to 1,891.05, 2,836.58 and 574.82

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Solution

The fourth proportional to 1,891.05, 2,836.58 and 574.82 is: 862.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.05 : 2,836.58 = 574.82 : x
  2. Step 2: Convert to fraction form
    1,891.05/2,836.58 = 574.82/x
  3. Step 3: Cross multiply
    1,891.05x = 2,836.58 × 574.82
  4. Step 4: Simplify right side
    1,891.05x = 1,630,508.73
  5. Step 5: Solve for x
    x = 1,630,508.73/1,891.05
  6. Step 6: Final answer
    x = 862.22

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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.