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Finding the Fourth Proportional to 20,131.80, 30,197.70 and 13,133.40

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Solution

The fourth proportional to 20,131.80, 30,197.70 and 13,133.40 is: 19,700.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,131.80 : 30,197.70 = 13,133.40 : x
  2. Step 2: Convert to fraction form
    20,131.80/30,197.70 = 13,133.40/x
  3. Step 3: Cross multiply
    20,131.80x = 30,197.70 × 13,133.40
  4. Step 4: Simplify right side
    20,131.80x = 396,598,473.18
  5. Step 5: Solve for x
    x = 396,598,473.18/20,131.80
  6. Step 6: Final answer
    x = 19,700.10

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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.