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Finding the Fourth Proportional to 20,141.76, 30,173.76 and 9,760.80

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Solution

The fourth proportional to 20,141.76, 30,173.76 and 9,760.80 is: 14,622.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,141.76 : 30,173.76 = 9,760.80 : x
  2. Step 2: Convert to fraction form
    20,141.76/30,173.76 = 9,760.80/x
  3. Step 3: Cross multiply
    20,141.76x = 30,173.76 × 9,760.80
  4. Step 4: Simplify right side
    20,141.76x = 294,520,036.61
  5. Step 5: Solve for x
    x = 294,520,036.61/20,141.76
  6. Step 6: Final answer
    x = 14,622.36

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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.