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Finding the Fourth Proportional to 8,469.74, 12,706.29 and 2,626.13

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Solution

The fourth proportional to 8,469.74, 12,706.29 and 2,626.13 is: 3,939.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,469.74 : 12,706.29 = 2,626.13 : x
  2. Step 2: Convert to fraction form
    8,469.74/12,706.29 = 2,626.13/x
  3. Step 3: Cross multiply
    8,469.74x = 12,706.29 × 2,626.13
  4. Step 4: Simplify right side
    8,469.74x = 33,368,305.83
  5. Step 5: Solve for x
    x = 33,368,305.83/8,469.74
  6. Step 6: Final answer
    x = 3,939.71

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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.