Home / 2,138.50-3,208.13-1,026.96

Finding the Fourth Proportional to 2,138.50, 3,208.13 and 1,026.96

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Solution

The fourth proportional to 2,138.50, 3,208.13 and 1,026.96 is: 1,540.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,138.50 : 3,208.13 = 1,026.96 : x
  2. Step 2: Convert to fraction form
    2,138.50/3,208.13 = 1,026.96/x
  3. Step 3: Cross multiply
    2,138.50x = 3,208.13 × 1,026.96
  4. Step 4: Simplify right side
    2,138.50x = 3,294,621.18
  5. Step 5: Solve for x
    x = 3,294,621.18/2,138.50
  6. Step 6: Final answer
    x = 1,540.62

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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.