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Finding the Fourth Proportional to 20,532.30, 30,786.66 and 8,037.71

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Solution

The fourth proportional to 20,532.30, 30,786.66 and 8,037.71 is: 12,051.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,532.30 : 30,786.66 = 8,037.71 : x
  2. Step 2: Convert to fraction form
    20,532.30/30,786.66 = 8,037.71/x
  3. Step 3: Cross multiply
    20,532.30x = 30,786.66 × 8,037.71
  4. Step 4: Simplify right side
    20,532.30x = 247,454,091.02
  5. Step 5: Solve for x
    x = 247,454,091.02/20,532.30
  6. Step 6: Final answer
    x = 12,051.94

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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.