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Finding the Fourth Proportional to 25,883.18, 38,825.63 and 7,161.65

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Solution

The fourth proportional to 25,883.18, 38,825.63 and 7,161.65 is: 10,742.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,883.18 : 38,825.63 = 7,161.65 : x
  2. Step 2: Convert to fraction form
    25,883.18/38,825.63 = 7,161.65/x
  3. Step 3: Cross multiply
    25,883.18x = 38,825.63 × 7,161.65
  4. Step 4: Simplify right side
    25,883.18x = 278,055,378.96
  5. Step 5: Solve for x
    x = 278,055,378.96/25,883.18
  6. Step 6: Final answer
    x = 10,742.71

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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.