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Finding the Fourth Proportional to 12,087.30, 16,682 and 6,782.08

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Solution

The fourth proportional to 12,087.30, 16,682 and 6,782.08 is: 9,360.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,087.30 : 16,682 = 6,782.08 : x
  2. Step 2: Convert to fraction form
    12,087.30/16,682 = 6,782.08/x
  3. Step 3: Cross multiply
    12,087.30x = 16,682 × 6,782.08
  4. Step 4: Simplify right side
    12,087.30x = 113,138,658.56
  5. Step 5: Solve for x
    x = 113,138,658.56/12,087.30
  6. Step 6: Final answer
    x = 9,360.13

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.