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Finding the Fourth Proportional to 16,311, 22,511.10 and 9,687

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Solution

The fourth proportional to 16,311, 22,511.10 and 9,687 is: 13,369.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,311 : 22,511.10 = 9,687 : x
  2. Step 2: Convert to fraction form
    16,311/22,511.10 = 9,687/x
  3. Step 3: Cross multiply
    16,311x = 22,511.10 × 9,687
  4. Step 4: Simplify right side
    16,311x = 218,065,025.70
  5. Step 5: Solve for x
    x = 218,065,025.70/16,311
  6. Step 6: Final answer
    x = 13,369.20

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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.