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Finding the Fourth Proportional to 25,376, 38,067.63 and 7,847.18

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Solution

The fourth proportional to 25,376, 38,067.63 and 7,847.18 is: 11,771.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,376 : 38,067.63 = 7,847.18 : x
  2. Step 2: Convert to fraction form
    25,376/38,067.63 = 7,847.18/x
  3. Step 3: Cross multiply
    25,376x = 38,067.63 × 7,847.18
  4. Step 4: Simplify right side
    25,376x = 298,723,544.78
  5. Step 5: Solve for x
    x = 298,723,544.78/25,376
  6. Step 6: Final answer
    x = 11,771.89

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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.