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Finding the Fourth Proportional to 25,211.51, 37,815.89 and 7,679.97

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Solution

The fourth proportional to 25,211.51, 37,815.89 and 7,679.97 is: 11,519.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,211.51 : 37,815.89 = 7,679.97 : x
  2. Step 2: Convert to fraction form
    25,211.51/37,815.89 = 7,679.97/x
  3. Step 3: Cross multiply
    25,211.51x = 37,815.89 × 7,679.97
  4. Step 4: Simplify right side
    25,211.51x = 290,424,900.72
  5. Step 5: Solve for x
    x = 290,424,900.72/25,211.51
  6. Step 6: Final answer
    x = 11,519.54

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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.