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Finding the Fourth Proportional to 8,911.64, 13,367.64 and 3,717.56

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Solution

The fourth proportional to 8,911.64, 13,367.64 and 3,717.56 is: 5,576.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,911.64 : 13,367.64 = 3,717.56 : x
  2. Step 2: Convert to fraction form
    8,911.64/13,367.64 = 3,717.56/x
  3. Step 3: Cross multiply
    8,911.64x = 13,367.64 × 3,717.56
  4. Step 4: Simplify right side
    8,911.64x = 49,695,003.76
  5. Step 5: Solve for x
    x = 49,695,003.76/8,911.64
  6. Step 6: Final answer
    x = 5,576.42

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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.