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Finding the Fourth Proportional to 13,627.48, 20,427 and 9,245.20

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Solution

The fourth proportional to 13,627.48, 20,427 and 9,245.20 is: 13,858.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,627.48 : 20,427 = 9,245.20 : x
  2. Step 2: Convert to fraction form
    13,627.48/20,427 = 9,245.20/x
  3. Step 3: Cross multiply
    13,627.48x = 20,427 × 9,245.20
  4. Step 4: Simplify right side
    13,627.48x = 188,851,700.40
  5. Step 5: Solve for x
    x = 188,851,700.40/13,627.48
  6. Step 6: Final answer
    x = 13,858.15

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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.