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Finding the Fourth Proportional to 25,786.24, 38,680.32 and 7,318.24

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Solution

The fourth proportional to 25,786.24, 38,680.32 and 7,318.24 is: 10,977.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,786.24 : 38,680.32 = 7,318.24 : x
  2. Step 2: Convert to fraction form
    25,786.24/38,680.32 = 7,318.24/x
  3. Step 3: Cross multiply
    25,786.24x = 38,680.32 × 7,318.24
  4. Step 4: Simplify right side
    25,786.24x = 283,071,865.04
  5. Step 5: Solve for x
    x = 283,071,865.04/25,786.24
  6. Step 6: Final answer
    x = 10,977.63

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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.