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Finding the Fourth Proportional to 2,768.70, 3,820.74 and 1,589.70

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Solution

The fourth proportional to 2,768.70, 3,820.74 and 1,589.70 is: 2,193.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.70 : 3,820.74 = 1,589.70 : x
  2. Step 2: Convert to fraction form
    2,768.70/3,820.74 = 1,589.70/x
  3. Step 3: Cross multiply
    2,768.70x = 3,820.74 × 1,589.70
  4. Step 4: Simplify right side
    2,768.70x = 6,073,830.38
  5. Step 5: Solve for x
    x = 6,073,830.38/2,768.70
  6. Step 6: Final answer
    x = 2,193.75

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Half scale
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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.