Home / 2,289.11-3,434.74-827.87

Finding the Fourth Proportional to 2,289.11, 3,434.74 and 827.87

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Solution

The fourth proportional to 2,289.11, 3,434.74 and 827.87 is: 1,242.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,289.11 : 3,434.74 = 827.87 : x
  2. Step 2: Convert to fraction form
    2,289.11/3,434.74 = 827.87/x
  3. Step 3: Cross multiply
    2,289.11x = 3,434.74 × 827.87
  4. Step 4: Simplify right side
    2,289.11x = 2,843,498.96
  5. Step 5: Solve for x
    x = 2,843,498.96/2,289.11
  6. Step 6: Final answer
    x = 1,242.19

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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.