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Finding the Fourth Proportional to 7,425.85, 11,137.85 and 2,427.81

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Solution

The fourth proportional to 7,425.85, 11,137.85 and 2,427.81 is: 3,641.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,425.85 : 11,137.85 = 2,427.81 : x
  2. Step 2: Convert to fraction form
    7,425.85/11,137.85 = 2,427.81/x
  3. Step 3: Cross multiply
    7,425.85x = 11,137.85 × 2,427.81
  4. Step 4: Simplify right side
    7,425.85x = 27,040,546.66
  5. Step 5: Solve for x
    x = 27,040,546.66/7,425.85
  6. Step 6: Final answer
    x = 3,641.41

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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.