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Finding the Fourth Proportional to 12,644.91, 18,971.01 and 3,881.12

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Solution

The fourth proportional to 12,644.91, 18,971.01 and 3,881.12 is: 5,822.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,644.91 : 18,971.01 = 3,881.12 : x
  2. Step 2: Convert to fraction form
    12,644.91/18,971.01 = 3,881.12/x
  3. Step 3: Cross multiply
    12,644.91x = 18,971.01 × 3,881.12
  4. Step 4: Simplify right side
    12,644.91x = 73,628,671.48
  5. Step 5: Solve for x
    x = 73,628,671.48/12,644.91
  6. Step 6: Final answer
    x = 5,822.79

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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.