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Finding the Fourth Proportional to 11,845, 17,767.50 and 3,637

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Solution

The fourth proportional to 11,845, 17,767.50 and 3,637 is: 5,455.50

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,845 : 17,767.50 = 3,637 : x
  2. Step 2: Convert to fraction form
    11,845/17,767.50 = 3,637/x
  3. Step 3: Cross multiply
    11,845x = 17,767.50 × 3,637
  4. Step 4: Simplify right side
    11,845x = 64,620,397.50
  5. Step 5: Solve for x
    x = 64,620,397.50/11,845
  6. Step 6: Final answer
    x = 5,455.50

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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.