Home / 2,558.62-3,838.29-826.66

Finding the Fourth Proportional to 2,558.62, 3,838.29 and 826.66

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Solution

The fourth proportional to 2,558.62, 3,838.29 and 826.66 is: 1,240.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,558.62 : 3,838.29 = 826.66 : x
  2. Step 2: Convert to fraction form
    2,558.62/3,838.29 = 826.66/x
  3. Step 3: Cross multiply
    2,558.62x = 3,838.29 × 826.66
  4. Step 4: Simplify right side
    2,558.62x = 3,172,960.81
  5. Step 5: Solve for x
    x = 3,172,960.81/2,558.62
  6. Step 6: Final answer
    x = 1,240.11

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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.