Home / 2,138.29-3,206.10-905.05

Finding the Fourth Proportional to 2,138.29, 3,206.10 and 905.05

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Solution

The fourth proportional to 2,138.29, 3,206.10 and 905.05 is: 1,357.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.29 : 3,206.10 = 905.05 : x
  2. Step 2: Convert to fraction form
    2,138.29/3,206.10 = 905.05/x
  3. Step 3: Cross multiply
    2,138.29x = 3,206.10 × 905.05
  4. Step 4: Simplify right side
    2,138.29x = 2,901,680.81
  5. Step 5: Solve for x
    x = 2,901,680.81/2,138.29
  6. Step 6: Final answer
    x = 1,357.01

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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.