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Finding the Fourth Proportional to 8,089.74, 12,135.69 and 2,824.20

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Solution

The fourth proportional to 8,089.74, 12,135.69 and 2,824.20 is: 4,236.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,089.74 : 12,135.69 = 2,824.20 : x
  2. Step 2: Convert to fraction form
    8,089.74/12,135.69 = 2,824.20/x
  3. Step 3: Cross multiply
    8,089.74x = 12,135.69 × 2,824.20
  4. Step 4: Simplify right side
    8,089.74x = 34,273,615.70
  5. Step 5: Solve for x
    x = 34,273,615.70/8,089.74
  6. Step 6: Final answer
    x = 4,236.68

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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.