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Finding the Fourth Proportional to 2,550.34, 3,826.14 and 818.92

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Solution

The fourth proportional to 2,550.34, 3,826.14 and 818.92 is: 1,228.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,550.34 : 3,826.14 = 818.92 : x
  2. Step 2: Convert to fraction form
    2,550.34/3,826.14 = 818.92/x
  3. Step 3: Cross multiply
    2,550.34x = 3,826.14 × 818.92
  4. Step 4: Simplify right side
    2,550.34x = 3,133,302.57
  5. Step 5: Solve for x
    x = 3,133,302.57/2,550.34
  6. Step 6: Final answer
    x = 1,228.58

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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.