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Finding the Fourth Proportional to 2,824.09, 4,236.08 and 772.09

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Solution

The fourth proportional to 2,824.09, 4,236.08 and 772.09 is: 1,158.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,824.09 : 4,236.08 = 772.09 : x
  2. Step 2: Convert to fraction form
    2,824.09/4,236.08 = 772.09/x
  3. Step 3: Cross multiply
    2,824.09x = 4,236.08 × 772.09
  4. Step 4: Simplify right side
    2,824.09x = 3,270,635.01
  5. Step 5: Solve for x
    x = 3,270,635.01/2,824.09
  6. Step 6: Final answer
    x = 1,158.12

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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.