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Finding the Fourth Proportional to 8,782.88, 13,174.16 and 2,209.07

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Solution

The fourth proportional to 8,782.88, 13,174.16 and 2,209.07 is: 3,313.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,782.88 : 13,174.16 = 2,209.07 : x
  2. Step 2: Convert to fraction form
    8,782.88/13,174.16 = 2,209.07/x
  3. Step 3: Cross multiply
    8,782.88x = 13,174.16 × 2,209.07
  4. Step 4: Simplify right side
    8,782.88x = 29,102,564.72
  5. Step 5: Solve for x
    x = 29,102,564.72/8,782.88
  6. Step 6: Final answer
    x = 3,313.56

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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.