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Finding the Fourth Proportional to 8,214.42, 12,321.63 and 4,923.39

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Solution

The fourth proportional to 8,214.42, 12,321.63 and 4,923.39 is: 7,385.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,214.42 : 12,321.63 = 4,923.39 : x
  2. Step 2: Convert to fraction form
    8,214.42/12,321.63 = 4,923.39/x
  3. Step 3: Cross multiply
    8,214.42x = 12,321.63 × 4,923.39
  4. Step 4: Simplify right side
    8,214.42x = 60,664,189.93
  5. Step 5: Solve for x
    x = 60,664,189.93/8,214.42
  6. Step 6: Final answer
    x = 7,385.09

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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.