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Finding the Fourth Proportional to 16,181.91, 22,329.14 and 9,107.91

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Solution

The fourth proportional to 16,181.91, 22,329.14 and 9,107.91 is: 12,567.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,181.91 : 22,329.14 = 9,107.91 : x
  2. Step 2: Convert to fraction form
    16,181.91/22,329.14 = 9,107.91/x
  3. Step 3: Cross multiply
    16,181.91x = 22,329.14 × 9,107.91
  4. Step 4: Simplify right side
    16,181.91x = 203,371,751.96
  5. Step 5: Solve for x
    x = 203,371,751.96/16,181.91
  6. Step 6: Final answer
    x = 12,567.85

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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.