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Finding the Fourth Proportional to 13,689, 20,531.45 and 3,827

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Solution

The fourth proportional to 13,689, 20,531.45 and 3,827 is: 5,739.93

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689 : 20,531.45 = 3,827 : x
  2. Step 2: Convert to fraction form
    13,689/20,531.45 = 3,827/x
  3. Step 3: Cross multiply
    13,689x = 20,531.45 × 3,827
  4. Step 4: Simplify right side
    13,689x = 78,573,859.15
  5. Step 5: Solve for x
    x = 78,573,859.15/13,689
  6. Step 6: Final answer
    x = 5,739.93

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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.