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Finding the Fourth Proportional to 8,461.26, 12,700.09 and 4,081.79

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Solution

The fourth proportional to 8,461.26, 12,700.09 and 4,081.79 is: 6,126.65

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,461.26 : 12,700.09 = 4,081.79 : x
  2. Step 2: Convert to fraction form
    8,461.26/12,700.09 = 4,081.79/x
  3. Step 3: Cross multiply
    8,461.26x = 12,700.09 × 4,081.79
  4. Step 4: Simplify right side
    8,461.26x = 51,839,137.21
  5. Step 5: Solve for x
    x = 51,839,137.21/8,461.26
  6. Step 6: Final answer
    x = 6,126.65

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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.