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Finding the Fourth Proportional to 15,137.70, 22,706.28 and 6,811.82

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Solution

The fourth proportional to 15,137.70, 22,706.28 and 6,811.82 is: 10,217.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,137.70 : 22,706.28 = 6,811.82 : x
  2. Step 2: Convert to fraction form
    15,137.70/22,706.28 = 6,811.82/x
  3. Step 3: Cross multiply
    15,137.70x = 22,706.28 × 6,811.82
  4. Step 4: Simplify right side
    15,137.70x = 154,671,092.23
  5. Step 5: Solve for x
    x = 154,671,092.23/15,137.70
  6. Step 6: Final answer
    x = 10,217.61

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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.