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Finding the Fourth Proportional to 8,782.72, 13,174.77 and 2,542.83

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Solution

The fourth proportional to 8,782.72, 13,174.77 and 2,542.83 is: 3,814.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.72 : 13,174.77 = 2,542.83 : x
  2. Step 2: Convert to fraction form
    8,782.72/13,174.77 = 2,542.83/x
  3. Step 3: Cross multiply
    8,782.72x = 13,174.77 × 2,542.83
  4. Step 4: Simplify right side
    8,782.72x = 33,501,146.23
  5. Step 5: Solve for x
    x = 33,501,146.23/8,782.72
  6. Step 6: Final answer
    x = 3,814.44

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1.5x scale

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.