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Finding the Fourth Proportional to 20,197.30, 30,259.95 and 9,786.10

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Solution

The fourth proportional to 20,197.30, 30,259.95 and 9,786.10 is: 14,661.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,197.30 : 30,259.95 = 9,786.10 : x
  2. Step 2: Convert to fraction form
    20,197.30/30,259.95 = 9,786.10/x
  3. Step 3: Cross multiply
    20,197.30x = 30,259.95 × 9,786.10
  4. Step 4: Simplify right side
    20,197.30x = 296,126,896.70
  5. Step 5: Solve for x
    x = 296,126,896.70/20,197.30
  6. Step 6: Final answer
    x = 14,661.71

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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.