Home / 2,522.85-3,784.30-768.14

Finding the Fourth Proportional to 2,522.85, 3,784.30 and 768.14

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Solution

The fourth proportional to 2,522.85, 3,784.30 and 768.14 is: 1,152.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,522.85 : 3,784.30 = 768.14 : x
  2. Step 2: Convert to fraction form
    2,522.85/3,784.30 = 768.14/x
  3. Step 3: Cross multiply
    2,522.85x = 3,784.30 × 768.14
  4. Step 4: Simplify right side
    2,522.85x = 2,906,872.20
  5. Step 5: Solve for x
    x = 2,906,872.20/2,522.85
  6. Step 6: Final answer
    x = 1,152.22

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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.