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Finding the Fourth Proportional to 20,127.66, 30,191.50 and 7,644.76

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Solution

The fourth proportional to 20,127.66, 30,191.50 and 7,644.76 is: 11,467.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,127.66 : 30,191.50 = 7,644.76 : x
  2. Step 2: Convert to fraction form
    20,127.66/30,191.50 = 7,644.76/x
  3. Step 3: Cross multiply
    20,127.66x = 30,191.50 × 7,644.76
  4. Step 4: Simplify right side
    20,127.66x = 230,806,771.54
  5. Step 5: Solve for x
    x = 230,806,771.54/20,127.66
  6. Step 6: Final answer
    x = 11,467.14

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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.