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Finding the Fourth Proportional to 8,138.24, 12,211.20 and 8,007.20

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Solution

The fourth proportional to 8,138.24, 12,211.20 and 8,007.20 is: 12,014.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,138.24 : 12,211.20 = 8,007.20 : x
  2. Step 2: Convert to fraction form
    8,138.24/12,211.20 = 8,007.20/x
  3. Step 3: Cross multiply
    8,138.24x = 12,211.20 × 8,007.20
  4. Step 4: Simplify right side
    8,138.24x = 97,777,520.64
  5. Step 5: Solve for x
    x = 97,777,520.64/8,138.24
  6. Step 6: Final answer
    x = 12,014.58

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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.