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Finding the Fourth Proportional to 11,898, 17,847 and 4,972.50

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Solution

The fourth proportional to 11,898, 17,847 and 4,972.50 is: 7,458.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898 : 17,847 = 4,972.50 : x
  2. Step 2: Convert to fraction form
    11,898/17,847 = 4,972.50/x
  3. Step 3: Cross multiply
    11,898x = 17,847 × 4,972.50
  4. Step 4: Simplify right side
    11,898x = 88,744,207.50
  5. Step 5: Solve for x
    x = 88,744,207.50/11,898
  6. Step 6: Final answer
    x = 7,458.75

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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.