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Finding the Fourth Proportional to 8,388.91, 12,584.97 and 2,840.77

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Solution

The fourth proportional to 8,388.91, 12,584.97 and 2,840.77 is: 4,261.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,388.91 : 12,584.97 = 2,840.77 : x
  2. Step 2: Convert to fraction form
    8,388.91/12,584.97 = 2,840.77/x
  3. Step 3: Cross multiply
    8,388.91x = 12,584.97 × 2,840.77
  4. Step 4: Simplify right side
    8,388.91x = 35,751,020.96
  5. Step 5: Solve for x
    x = 35,751,020.96/8,388.91
  6. Step 6: Final answer
    x = 4,261.70

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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.