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Finding the Fourth Proportional to 25,719.24, 38,584.98 and 8,189.04

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Solution

The fourth proportional to 25,719.24, 38,584.98 and 8,189.04 is: 12,285.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,719.24 : 38,584.98 = 8,189.04 : x
  2. Step 2: Convert to fraction form
    25,719.24/38,584.98 = 8,189.04/x
  3. Step 3: Cross multiply
    25,719.24x = 38,584.98 × 8,189.04
  4. Step 4: Simplify right side
    25,719.24x = 315,973,944.62
  5. Step 5: Solve for x
    x = 315,973,944.62/25,719.24
  6. Step 6: Final answer
    x = 12,285.51

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.