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Finding the Fourth Proportional to 8,099.88, 12,149.81 and 2,256.64

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Solution

The fourth proportional to 8,099.88, 12,149.81 and 2,256.64 is: 3,384.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,099.88 : 12,149.81 = 2,256.64 : x
  2. Step 2: Convert to fraction form
    8,099.88/12,149.81 = 2,256.64/x
  3. Step 3: Cross multiply
    8,099.88x = 12,149.81 × 2,256.64
  4. Step 4: Simplify right side
    8,099.88x = 27,417,747.24
  5. Step 5: Solve for x
    x = 27,417,747.24/8,099.88
  6. Step 6: Final answer
    x = 3,384.96

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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.