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Finding the Fourth Proportional to 13,813.20, 20,712.78 and 6,793.74

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Solution

The fourth proportional to 13,813.20, 20,712.78 and 6,793.74 is: 10,187.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,813.20 : 20,712.78 = 6,793.74 : x
  2. Step 2: Convert to fraction form
    13,813.20/20,712.78 = 6,793.74/x
  3. Step 3: Cross multiply
    13,813.20x = 20,712.78 × 6,793.74
  4. Step 4: Simplify right side
    13,813.20x = 140,717,242.00
  5. Step 5: Solve for x
    x = 140,717,242.00/13,813.20
  6. Step 6: Final answer
    x = 10,187.16

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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.