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Finding the Fourth Proportional to 11,898, 17,847.12 and 4,876.21

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Solution

The fourth proportional to 11,898, 17,847.12 and 4,876.21 is: 7,314.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,898 : 17,847.12 = 4,876.21 : x
  2. Step 2: Convert to fraction form
    11,898/17,847.12 = 4,876.21/x
  3. Step 3: Cross multiply
    11,898x = 17,847.12 × 4,876.21
  4. Step 4: Simplify right side
    11,898x = 87,026,305.02
  5. Step 5: Solve for x
    x = 87,026,305.02/11,898
  6. Step 6: Final answer
    x = 7,314.36

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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.