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Finding the Fourth Proportional to 1,549.59, 2,138.38 and 850.96

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Solution

The fourth proportional to 1,549.59, 2,138.38 and 850.96 is: 1,174.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.59 : 2,138.38 = 850.96 : x
  2. Step 2: Convert to fraction form
    1,549.59/2,138.38 = 850.96/x
  3. Step 3: Cross multiply
    1,549.59x = 2,138.38 × 850.96
  4. Step 4: Simplify right side
    1,549.59x = 1,819,675.84
  5. Step 5: Solve for x
    x = 1,819,675.84/1,549.59
  6. Step 6: Final answer
    x = 1,174.30

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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.