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Finding the Fourth Proportional to 8,134, 12,200.38 and 2,587.12

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Solution

The fourth proportional to 8,134, 12,200.38 and 2,587.12 is: 3,880.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,134 : 12,200.38 = 2,587.12 : x
  2. Step 2: Convert to fraction form
    8,134/12,200.38 = 2,587.12/x
  3. Step 3: Cross multiply
    8,134x = 12,200.38 × 2,587.12
  4. Step 4: Simplify right side
    8,134x = 31,563,847.11
  5. Step 5: Solve for x
    x = 31,563,847.11/8,134
  6. Step 6: Final answer
    x = 3,880.48

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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.