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Finding the Fourth Proportional to 1,549.44, 2,138.26 and 850.81

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Solution

The fourth proportional to 1,549.44, 2,138.26 and 850.81 is: 1,174.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.44 : 2,138.26 = 850.81 : x
  2. Step 2: Convert to fraction form
    1,549.44/2,138.26 = 850.81/x
  3. Step 3: Cross multiply
    1,549.44x = 2,138.26 × 850.81
  4. Step 4: Simplify right side
    1,549.44x = 1,819,252.99
  5. Step 5: Solve for x
    x = 1,819,252.99/1,549.44
  6. Step 6: Final answer
    x = 1,174.14

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.