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Finding the Fourth Proportional to 25,527.72, 38,289.15 and 7,997.70

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Solution

The fourth proportional to 25,527.72, 38,289.15 and 7,997.70 is: 11,995.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,527.72 : 38,289.15 = 7,997.70 : x
  2. Step 2: Convert to fraction form
    25,527.72/38,289.15 = 7,997.70/x
  3. Step 3: Cross multiply
    25,527.72x = 38,289.15 × 7,997.70
  4. Step 4: Simplify right side
    25,527.72x = 306,225,134.96
  5. Step 5: Solve for x
    x = 306,225,134.96/25,527.72
  6. Step 6: Final answer
    x = 11,995.79

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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.