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Finding the Fourth Proportional to 2,138.14, 3,204.96 and 838.72

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Solution

The fourth proportional to 2,138.14, 3,204.96 and 838.72 is: 1,257.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.14 : 3,204.96 = 838.72 : x
  2. Step 2: Convert to fraction form
    2,138.14/3,204.96 = 838.72/x
  3. Step 3: Cross multiply
    2,138.14x = 3,204.96 × 838.72
  4. Step 4: Simplify right side
    2,138.14x = 2,688,064.05
  5. Step 5: Solve for x
    x = 2,688,064.05/2,138.14
  6. Step 6: Final answer
    x = 1,257.20

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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.