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Finding the Fourth Proportional to 2,065.39, 3,098.39 and 1,338.21

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Solution

The fourth proportional to 2,065.39, 3,098.39 and 1,338.21 is: 2,007.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,065.39 : 3,098.39 = 1,338.21 : x
  2. Step 2: Convert to fraction form
    2,065.39/3,098.39 = 1,338.21/x
  3. Step 3: Cross multiply
    2,065.39x = 3,098.39 × 1,338.21
  4. Step 4: Simplify right side
    2,065.39x = 4,146,289.79
  5. Step 5: Solve for x
    x = 4,146,289.79/2,065.39
  6. Step 6: Final answer
    x = 2,007.51

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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.