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Finding the Fourth Proportional to 2,205.18, 3,309.36 and 818.71

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Solution

The fourth proportional to 2,205.18, 3,309.36 and 818.71 is: 1,228.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,205.18 : 3,309.36 = 818.71 : x
  2. Step 2: Convert to fraction form
    2,205.18/3,309.36 = 818.71/x
  3. Step 3: Cross multiply
    2,205.18x = 3,309.36 × 818.71
  4. Step 4: Simplify right side
    2,205.18x = 2,709,397.85
  5. Step 5: Solve for x
    x = 2,709,397.85/2,205.18
  6. Step 6: Final answer
    x = 1,228.65

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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.