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Finding the Fourth Proportional to 21,906.13, 32,839.48 and 7,862.86

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Solution

The fourth proportional to 21,906.13, 32,839.48 and 7,862.86 is: 11,787.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,906.13 : 32,839.48 = 7,862.86 : x
  2. Step 2: Convert to fraction form
    21,906.13/32,839.48 = 7,862.86/x
  3. Step 3: Cross multiply
    21,906.13x = 32,839.48 × 7,862.86
  4. Step 4: Simplify right side
    21,906.13x = 258,212,233.71
  5. Step 5: Solve for x
    x = 258,212,233.71/21,906.13
  6. Step 6: Final answer
    x = 11,787.21

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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.