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Finding the Fourth Proportional to 20,411.92, 30,611.76 and 7,262.56

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Solution

The fourth proportional to 20,411.92, 30,611.76 and 7,262.56 is: 10,891.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,411.92 : 30,611.76 = 7,262.56 : x
  2. Step 2: Convert to fraction form
    20,411.92/30,611.76 = 7,262.56/x
  3. Step 3: Cross multiply
    20,411.92x = 30,611.76 × 7,262.56
  4. Step 4: Simplify right side
    20,411.92x = 222,319,743.71
  5. Step 5: Solve for x
    x = 222,319,743.71/20,411.92
  6. Step 6: Final answer
    x = 10,891.66

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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.