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Finding the Fourth Proportional to 8,681.52, 11,972.62 and 5,696.22

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Solution

The fourth proportional to 8,681.52, 11,972.62 and 5,696.22 is: 7,855.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,681.52 : 11,972.62 = 5,696.22 : x
  2. Step 2: Convert to fraction form
    8,681.52/11,972.62 = 5,696.22/x
  3. Step 3: Cross multiply
    8,681.52x = 11,972.62 × 5,696.22
  4. Step 4: Simplify right side
    8,681.52x = 68,198,589.15
  5. Step 5: Solve for x
    x = 68,198,589.15/8,681.52
  6. Step 6: Final answer
    x = 7,855.61

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.