Home / 1,549.41-2,138.18-850.78

Finding the Fourth Proportional to 1,549.41, 2,138.18 and 850.78

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Solution

The fourth proportional to 1,549.41, 2,138.18 and 850.78 is: 1,174.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,549.41 : 2,138.18 = 850.78 : x
  2. Step 2: Convert to fraction form
    1,549.41/2,138.18 = 850.78/x
  3. Step 3: Cross multiply
    1,549.41x = 2,138.18 × 850.78
  4. Step 4: Simplify right side
    1,549.41x = 1,819,123.98
  5. Step 5: Solve for x
    x = 1,819,123.98/1,549.41
  6. Step 6: Final answer
    x = 1,174.08

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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.