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Finding the Fourth Proportional to 13,903.26, 20,829.78 and 9,212.15

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Solution

The fourth proportional to 13,903.26, 20,829.78 and 9,212.15 is: 13,801.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,903.26 : 20,829.78 = 9,212.15 : x
  2. Step 2: Convert to fraction form
    13,903.26/20,829.78 = 9,212.15/x
  3. Step 3: Cross multiply
    13,903.26x = 20,829.78 × 9,212.15
  4. Step 4: Simplify right side
    13,903.26x = 191,886,953.68
  5. Step 5: Solve for x
    x = 191,886,953.68/13,903.26
  6. Step 6: Final answer
    x = 13,801.58

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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.