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Finding the Fourth Proportional to 1,939.41, 2,910.32 and 769.22

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Solution

The fourth proportional to 1,939.41, 2,910.32 and 769.22 is: 1,154.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,939.41 : 2,910.32 = 769.22 : x
  2. Step 2: Convert to fraction form
    1,939.41/2,910.32 = 769.22/x
  3. Step 3: Cross multiply
    1,939.41x = 2,910.32 × 769.22
  4. Step 4: Simplify right side
    1,939.41x = 2,238,657.95
  5. Step 5: Solve for x
    x = 2,238,657.95/1,939.41
  6. Step 6: Final answer
    x = 1,154.30

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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.