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Finding the Fourth Proportional to 2,378.55, 3,568.25 and 818.73

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Solution

The fourth proportional to 2,378.55, 3,568.25 and 818.73 is: 1,228.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,378.55 : 3,568.25 = 818.73 : x
  2. Step 2: Convert to fraction form
    2,378.55/3,568.25 = 818.73/x
  3. Step 3: Cross multiply
    2,378.55x = 3,568.25 × 818.73
  4. Step 4: Simplify right side
    2,378.55x = 2,921,429.23
  5. Step 5: Solve for x
    x = 2,921,429.23/2,378.55
  6. Step 6: Final answer
    x = 1,228.24

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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.