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Finding the Fourth Proportional to 11,752.88, 16,216.44 and 6,782

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Solution

The fourth proportional to 11,752.88, 16,216.44 and 6,782 is: 9,357.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,752.88 : 16,216.44 = 6,782 : x
  2. Step 2: Convert to fraction form
    11,752.88/16,216.44 = 6,782/x
  3. Step 3: Cross multiply
    11,752.88x = 16,216.44 × 6,782
  4. Step 4: Simplify right side
    11,752.88x = 109,979,896.08
  5. Step 5: Solve for x
    x = 109,979,896.08/11,752.88
  6. Step 6: Final answer
    x = 9,357.70

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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.