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Finding the Fourth Proportional to 8,188.52, 12,281.09 and 2,343.83

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Solution

The fourth proportional to 8,188.52, 12,281.09 and 2,343.83 is: 3,515.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,188.52 : 12,281.09 = 2,343.83 : x
  2. Step 2: Convert to fraction form
    8,188.52/12,281.09 = 2,343.83/x
  3. Step 3: Cross multiply
    8,188.52x = 12,281.09 × 2,343.83
  4. Step 4: Simplify right side
    8,188.52x = 28,784,714.05
  5. Step 5: Solve for x
    x = 28,784,714.05/8,188.52
  6. Step 6: Final answer
    x = 3,515.25

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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.