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Finding the Fourth Proportional to 20,760.96, 31,152.96 and 8,448

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Solution

The fourth proportional to 20,760.96, 31,152.96 and 8,448 is: 12,676.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,760.96 : 31,152.96 = 8,448 : x
  2. Step 2: Convert to fraction form
    20,760.96/31,152.96 = 8,448/x
  3. Step 3: Cross multiply
    20,760.96x = 31,152.96 × 8,448
  4. Step 4: Simplify right side
    20,760.96x = 263,180,206.08
  5. Step 5: Solve for x
    x = 263,180,206.08/20,760.96
  6. Step 6: Final answer
    x = 12,676.69

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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.