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Finding the Fourth Proportional to 21,755.67, 32,627.49 and 7,713.86

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Solution

The fourth proportional to 21,755.67, 32,627.49 and 7,713.86 is: 11,568.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    21,755.67 : 32,627.49 = 7,713.86 : x
  2. Step 2: Convert to fraction form
    21,755.67/32,627.49 = 7,713.86/x
  3. Step 3: Cross multiply
    21,755.67x = 32,627.49 × 7,713.86
  4. Step 4: Simplify right side
    21,755.67x = 251,683,726.87
  5. Step 5: Solve for x
    x = 251,683,726.87/21,755.67
  6. Step 6: Final answer
    x = 11,568.65

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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.