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Finding the Fourth Proportional to 20,129.76, 30,192.84 and 6,981.84

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Solution

The fourth proportional to 20,129.76, 30,192.84 and 6,981.84 is: 10,472.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,129.76 : 30,192.84 = 6,981.84 : x
  2. Step 2: Convert to fraction form
    20,129.76/30,192.84 = 6,981.84/x
  3. Step 3: Cross multiply
    20,129.76x = 30,192.84 × 6,981.84
  4. Step 4: Simplify right side
    20,129.76x = 210,801,578.03
  5. Step 5: Solve for x
    x = 210,801,578.03/20,129.76
  6. Step 6: Final answer
    x = 10,472.14

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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.