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Finding the Fourth Proportional to 8,620.26, 12,931.02 and 2,781.06

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Solution

The fourth proportional to 8,620.26, 12,931.02 and 2,781.06 is: 4,171.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,620.26 : 12,931.02 = 2,781.06 : x
  2. Step 2: Convert to fraction form
    8,620.26/12,931.02 = 2,781.06/x
  3. Step 3: Cross multiply
    8,620.26x = 12,931.02 × 2,781.06
  4. Step 4: Simplify right side
    8,620.26x = 35,961,942.48
  5. Step 5: Solve for x
    x = 35,961,942.48/8,620.26
  6. Step 6: Final answer
    x = 4,171.79

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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.