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Finding the Fourth Proportional to 13,611.48, 20,403 and 9,229.20

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Solution

The fourth proportional to 13,611.48, 20,403 and 9,229.20 is: 13,834.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,611.48 : 20,403 = 9,229.20 : x
  2. Step 2: Convert to fraction form
    13,611.48/20,403 = 9,229.20/x
  3. Step 3: Cross multiply
    13,611.48x = 20,403 × 9,229.20
  4. Step 4: Simplify right side
    13,611.48x = 188,303,367.60
  5. Step 5: Solve for x
    x = 188,303,367.60/13,611.48
  6. Step 6: Final answer
    x = 13,834.16

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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.