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Finding the Fourth Proportional to 1,849.55, 2,775.18 and 809.41

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Solution

The fourth proportional to 1,849.55, 2,775.18 and 809.41 is: 1,214.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.55 : 2,775.18 = 809.41 : x
  2. Step 2: Convert to fraction form
    1,849.55/2,775.18 = 809.41/x
  3. Step 3: Cross multiply
    1,849.55x = 2,775.18 × 809.41
  4. Step 4: Simplify right side
    1,849.55x = 2,246,258.44
  5. Step 5: Solve for x
    x = 2,246,258.44/1,849.55
  6. Step 6: Final answer
    x = 1,214.49

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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.