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Finding the Fourth Proportional to 1,849.56, 2,774.90 and 809.07

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Solution

The fourth proportional to 1,849.56, 2,774.90 and 809.07 is: 1,213.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,849.56 : 2,774.90 = 809.07 : x
  2. Step 2: Convert to fraction form
    1,849.56/2,774.90 = 809.07/x
  3. Step 3: Cross multiply
    1,849.56x = 2,774.90 × 809.07
  4. Step 4: Simplify right side
    1,849.56x = 2,245,090.37
  5. Step 5: Solve for x
    x = 2,245,090.37/1,849.56
  6. Step 6: Final answer
    x = 1,213.85

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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.