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Finding the Fourth Proportional to 13,829.15, 20,751.03 and 8,293.61

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Solution

The fourth proportional to 13,829.15, 20,751.03 and 8,293.61 is: 12,444.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,829.15 : 20,751.03 = 8,293.61 : x
  2. Step 2: Convert to fraction form
    13,829.15/20,751.03 = 8,293.61/x
  3. Step 3: Cross multiply
    13,829.15x = 20,751.03 × 8,293.61
  4. Step 4: Simplify right side
    13,829.15x = 172,100,949.92
  5. Step 5: Solve for x
    x = 172,100,949.92/13,829.15
  6. Step 6: Final answer
    x = 12,444.80

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1.5x scale

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.