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Finding the Fourth Proportional to 8,516.67, 12,770.64 and 3,832.71

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Solution

The fourth proportional to 8,516.67, 12,770.64 and 3,832.71 is: 5,747.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,516.67 : 12,770.64 = 3,832.71 : x
  2. Step 2: Convert to fraction form
    8,516.67/12,770.64 = 3,832.71/x
  3. Step 3: Cross multiply
    8,516.67x = 12,770.64 × 3,832.71
  4. Step 4: Simplify right side
    8,516.67x = 48,946,159.63
  5. Step 5: Solve for x
    x = 48,946,159.63/8,516.67
  6. Step 6: Final answer
    x = 5,747.10

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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.