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Finding the Fourth Proportional to 8,704.82, 13,060.90 and 2,782.15

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Solution

The fourth proportional to 8,704.82, 13,060.90 and 2,782.15 is: 4,174.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,704.82 : 13,060.90 = 2,782.15 : x
  2. Step 2: Convert to fraction form
    8,704.82/13,060.90 = 2,782.15/x
  3. Step 3: Cross multiply
    8,704.82x = 13,060.90 × 2,782.15
  4. Step 4: Simplify right side
    8,704.82x = 36,337,338.11
  5. Step 5: Solve for x
    x = 36,337,338.11/8,704.82
  6. Step 6: Final answer
    x = 4,174.39

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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.