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Finding the Fourth Proportional to 1,850.57, 2,774.48 and 1,119.96

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Solution

The fourth proportional to 1,850.57, 2,774.48 and 1,119.96 is: 1,679.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,850.57 : 2,774.48 = 1,119.96 : x
  2. Step 2: Convert to fraction form
    1,850.57/2,774.48 = 1,119.96/x
  3. Step 3: Cross multiply
    1,850.57x = 2,774.48 × 1,119.96
  4. Step 4: Simplify right side
    1,850.57x = 3,107,301.02
  5. Step 5: Solve for x
    x = 3,107,301.02/1,850.57
  6. Step 6: Final answer
    x = 1,679.11

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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.