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Finding the Fourth Proportional to 13,773.20, 20,659.80 and 8,243.60

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Solution

The fourth proportional to 13,773.20, 20,659.80 and 8,243.60 is: 12,365.40

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,773.20 : 20,659.80 = 8,243.60 : x
  2. Step 2: Convert to fraction form
    13,773.20/20,659.80 = 8,243.60/x
  3. Step 3: Cross multiply
    13,773.20x = 20,659.80 × 8,243.60
  4. Step 4: Simplify right side
    13,773.20x = 170,311,127.28
  5. Step 5: Solve for x
    x = 170,311,127.28/13,773.20
  6. Step 6: Final answer
    x = 12,365.40

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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.