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Finding the Fourth Proportional to 8,716.16, 13,072.87 and 3,784.48

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Solution

The fourth proportional to 8,716.16, 13,072.87 and 3,784.48 is: 5,676.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,716.16 : 13,072.87 = 3,784.48 : x
  2. Step 2: Convert to fraction form
    8,716.16/13,072.87 = 3,784.48/x
  3. Step 3: Cross multiply
    8,716.16x = 13,072.87 × 3,784.48
  4. Step 4: Simplify right side
    8,716.16x = 49,473,972.91
  5. Step 5: Solve for x
    x = 49,473,972.91/8,716.16
  6. Step 6: Final answer
    x = 5,676.12

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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.