Home / 1,922.12-2,885.34-768.68

Finding the Fourth Proportional to 1,922.12, 2,885.34 and 768.68

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Solution

The fourth proportional to 1,922.12, 2,885.34 and 768.68 is: 1,153.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,922.12 : 2,885.34 = 768.68 : x
  2. Step 2: Convert to fraction form
    1,922.12/2,885.34 = 768.68/x
  3. Step 3: Cross multiply
    1,922.12x = 2,885.34 × 768.68
  4. Step 4: Simplify right side
    1,922.12x = 2,217,903.15
  5. Step 5: Solve for x
    x = 2,217,903.15/1,922.12
  6. Step 6: Final answer
    x = 1,153.88

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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.