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Finding the Fourth Proportional to 11,963.87, 16,509.92 and 6,658.64

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Solution

The fourth proportional to 11,963.87, 16,509.92 and 6,658.64 is: 9,188.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.87 : 16,509.92 = 6,658.64 : x
  2. Step 2: Convert to fraction form
    11,963.87/16,509.92 = 6,658.64/x
  3. Step 3: Cross multiply
    11,963.87x = 16,509.92 × 6,658.64
  4. Step 4: Simplify right side
    11,963.87x = 109,933,497.87
  5. Step 5: Solve for x
    x = 109,933,497.87/11,963.87
  6. Step 6: Final answer
    x = 9,188.79

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1.5x scale

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.