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Finding the Fourth Proportional to 13,689.96, 20,538.42 and 3,829.26

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Solution

The fourth proportional to 13,689.96, 20,538.42 and 3,829.26 is: 5,744.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,689.96 : 20,538.42 = 3,829.26 : x
  2. Step 2: Convert to fraction form
    13,689.96/20,538.42 = 3,829.26/x
  3. Step 3: Cross multiply
    13,689.96x = 20,538.42 × 3,829.26
  4. Step 4: Simplify right side
    13,689.96x = 78,646,950.17
  5. Step 5: Solve for x
    x = 78,646,950.17/13,689.96
  6. Step 6: Final answer
    x = 5,744.86

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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.