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Finding the Fourth Proportional to 11,963.10, 16,509.06 and 6,658.38

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Solution

The fourth proportional to 11,963.10, 16,509.06 and 6,658.38 is: 9,188.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,963.10 : 16,509.06 = 6,658.38 : x
  2. Step 2: Convert to fraction form
    11,963.10/16,509.06 = 6,658.38/x
  3. Step 3: Cross multiply
    11,963.10x = 16,509.06 × 6,658.38
  4. Step 4: Simplify right side
    11,963.10x = 109,923,594.92
  5. Step 5: Solve for x
    x = 109,923,594.92/11,963.10
  6. Step 6: Final answer
    x = 9,188.55

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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.