Home / 1,922.50-2,885.10-768.52

Finding the Fourth Proportional to 1,922.50, 2,885.10 and 768.52

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Solution

The fourth proportional to 1,922.50, 2,885.10 and 768.52 is: 1,153.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.50 : 2,885.10 = 768.52 : x
  2. Step 2: Convert to fraction form
    1,922.50/2,885.10 = 768.52/x
  3. Step 3: Cross multiply
    1,922.50x = 2,885.10 × 768.52
  4. Step 4: Simplify right side
    1,922.50x = 2,217,257.05
  5. Step 5: Solve for x
    x = 2,217,257.05/1,922.50
  6. Step 6: Final answer
    x = 1,153.32

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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.