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Finding the Fourth Proportional to 1,849.63, 2,774.46 and 809.41

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Solution

The fourth proportional to 1,849.63, 2,774.46 and 809.41 is: 1,214.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.63 : 2,774.46 = 809.41 : x
  2. Step 2: Convert to fraction form
    1,849.63/2,774.46 = 809.41/x
  3. Step 3: Cross multiply
    1,849.63x = 2,774.46 × 809.41
  4. Step 4: Simplify right side
    1,849.63x = 2,245,675.67
  5. Step 5: Solve for x
    x = 2,245,675.67/1,849.63
  6. Step 6: Final answer
    x = 1,214.12

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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.