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Finding the Fourth Proportional to 2,824.38, 4,236.57 and 772.38

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Solution

The fourth proportional to 2,824.38, 4,236.57 and 772.38 is: 1,158.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.38 : 4,236.57 = 772.38 : x
  2. Step 2: Convert to fraction form
    2,824.38/4,236.57 = 772.38/x
  3. Step 3: Cross multiply
    2,824.38x = 4,236.57 × 772.38
  4. Step 4: Simplify right side
    2,824.38x = 3,272,241.94
  5. Step 5: Solve for x
    x = 3,272,241.94/2,824.38
  6. Step 6: Final answer
    x = 1,158.57

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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.