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Finding the Fourth Proportional to 20,057.97, 30,097.20 and 13,399.02

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Solution

The fourth proportional to 20,057.97, 30,097.20 and 13,399.02 is: 20,105.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,057.97 : 30,097.20 = 13,399.02 : x
  2. Step 2: Convert to fraction form
    20,057.97/30,097.20 = 13,399.02/x
  3. Step 3: Cross multiply
    20,057.97x = 30,097.20 × 13,399.02
  4. Step 4: Simplify right side
    20,057.97x = 403,272,984.74
  5. Step 5: Solve for x
    x = 403,272,984.74/20,057.97
  6. Step 6: Final answer
    x = 20,105.37

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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.