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Finding the Fourth Proportional to 8,625, 11,912.28 and 5,825.64

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Solution

The fourth proportional to 8,625, 11,912.28 and 5,825.64 is: 8,045.99

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,625 : 11,912.28 = 5,825.64 : x
  2. Step 2: Convert to fraction form
    8,625/11,912.28 = 5,825.64/x
  3. Step 3: Cross multiply
    8,625x = 11,912.28 × 5,825.64
  4. Step 4: Simplify right side
    8,625x = 69,396,654.86
  5. Step 5: Solve for x
    x = 69,396,654.86/8,625
  6. Step 6: Final answer
    x = 8,045.99

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.