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Finding the Fourth Proportional to 2,138.74, 3,228.11 and 2,138.74

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Solution

The fourth proportional to 2,138.74, 3,228.11 and 2,138.74 is: 3,228.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.74 : 3,228.11 = 2,138.74 : x
  2. Step 2: Convert to fraction form
    2,138.74/3,228.11 = 2,138.74/x
  3. Step 3: Cross multiply
    2,138.74x = 3,228.11 × 2,138.74
  4. Step 4: Simplify right side
    2,138.74x = 6,904,087.98
  5. Step 5: Solve for x
    x = 6,904,087.98/2,138.74
  6. Step 6: Final answer
    x = 3,228.11

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.