Home / 2,174.26-3,261.39-787.78

Finding the Fourth Proportional to 2,174.26, 3,261.39 and 787.78

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Solution

The fourth proportional to 2,174.26, 3,261.39 and 787.78 is: 1,181.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,174.26 : 3,261.39 = 787.78 : x
  2. Step 2: Convert to fraction form
    2,174.26/3,261.39 = 787.78/x
  3. Step 3: Cross multiply
    2,174.26x = 3,261.39 × 787.78
  4. Step 4: Simplify right side
    2,174.26x = 2,569,257.81
  5. Step 5: Solve for x
    x = 2,569,257.81/2,174.26
  6. Step 6: Final answer
    x = 1,181.67

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1.5x scale

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.