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Finding the Fourth Proportional to 25,322.64, 37,982.88 and 7,791.72

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Solution

The fourth proportional to 25,322.64, 37,982.88 and 7,791.72 is: 11,687.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,322.64 : 37,982.88 = 7,791.72 : x
  2. Step 2: Convert to fraction form
    25,322.64/37,982.88 = 7,791.72/x
  3. Step 3: Cross multiply
    25,322.64x = 37,982.88 × 7,791.72
  4. Step 4: Simplify right side
    25,322.64x = 295,951,965.75
  5. Step 5: Solve for x
    x = 295,951,965.75/25,322.64
  6. Step 6: Final answer
    x = 11,687.25

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Why These Related Problems?

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