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Finding the Fourth Proportional to 8,913.64, 13,372.64 and 3,983.80

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Solution

The fourth proportional to 8,913.64, 13,372.64 and 3,983.80 is: 5,976.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,913.64 : 13,372.64 = 3,983.80 : x
  2. Step 2: Convert to fraction form
    8,913.64/13,372.64 = 3,983.80/x
  3. Step 3: Cross multiply
    8,913.64x = 13,372.64 × 3,983.80
  4. Step 4: Simplify right side
    8,913.64x = 53,273,923.23
  5. Step 5: Solve for x
    x = 53,273,923.23/8,913.64
  6. Step 6: Final answer
    x = 5,976.67

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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.