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Finding the Fourth Proportional to 14,990, 22,486.09 and 5,756

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Solution

The fourth proportional to 14,990, 22,486.09 and 5,756 is: 8,634.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,990 : 22,486.09 = 5,756 : x
  2. Step 2: Convert to fraction form
    14,990/22,486.09 = 5,756/x
  3. Step 3: Cross multiply
    14,990x = 22,486.09 × 5,756
  4. Step 4: Simplify right side
    14,990x = 129,429,934.04
  5. Step 5: Solve for x
    x = 129,429,934.04/14,990
  6. Step 6: Final answer
    x = 8,634.42

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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.