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Finding the Fourth Proportional to 8,704.87, 13,057.28 and 3,158.20

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Solution

The fourth proportional to 8,704.87, 13,057.28 and 3,158.20 is: 4,737.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.87 : 13,057.28 = 3,158.20 : x
  2. Step 2: Convert to fraction form
    8,704.87/13,057.28 = 3,158.20/x
  3. Step 3: Cross multiply
    8,704.87x = 13,057.28 × 3,158.20
  4. Step 4: Simplify right side
    8,704.87x = 41,237,453.26
  5. Step 5: Solve for x
    x = 41,237,453.26/8,704.87
  6. Step 6: Final answer
    x = 4,737.29

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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.