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Finding the Fourth Proportional to 18,523.44, 27,765.72 and 6,829.20

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Solution

The fourth proportional to 18,523.44, 27,765.72 and 6,829.20 is: 10,236.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,523.44 : 27,765.72 = 6,829.20 : x
  2. Step 2: Convert to fraction form
    18,523.44/27,765.72 = 6,829.20/x
  3. Step 3: Cross multiply
    18,523.44x = 27,765.72 × 6,829.20
  4. Step 4: Simplify right side
    18,523.44x = 189,617,655.02
  5. Step 5: Solve for x
    x = 189,617,655.02/18,523.44
  6. Step 6: Final answer
    x = 10,236.63

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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.