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Finding the Fourth Proportional to 11,331, 16,993.26 and 4,758.66

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Solution

The fourth proportional to 11,331, 16,993.26 and 4,758.66 is: 7,136.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,331 : 16,993.26 = 4,758.66 : x
  2. Step 2: Convert to fraction form
    11,331/16,993.26 = 4,758.66/x
  3. Step 3: Cross multiply
    11,331x = 16,993.26 × 4,758.66
  4. Step 4: Simplify right side
    11,331x = 80,865,146.63
  5. Step 5: Solve for x
    x = 80,865,146.63/11,331
  6. Step 6: Final answer
    x = 7,136.63

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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.