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Finding the Fourth Proportional to 8,137.64, 12,201 and 4,244.78

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Solution

The fourth proportional to 8,137.64, 12,201 and 4,244.78 is: 6,364.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,137.64 : 12,201 = 4,244.78 : x
  2. Step 2: Convert to fraction form
    8,137.64/12,201 = 4,244.78/x
  3. Step 3: Cross multiply
    8,137.64x = 12,201 × 4,244.78
  4. Step 4: Simplify right side
    8,137.64x = 51,790,560.78
  5. Step 5: Solve for x
    x = 51,790,560.78/8,137.64
  6. Step 6: Final answer
    x = 6,364.32

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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.