Home / 10,821.12-16,228.44-3,894

Finding the Fourth Proportional to 10,821.12, 16,228.44 and 3,894

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Solution

The fourth proportional to 10,821.12, 16,228.44 and 3,894 is: 5,839.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,821.12 : 16,228.44 = 3,894 : x
  2. Step 2: Convert to fraction form
    10,821.12/16,228.44 = 3,894/x
  3. Step 3: Cross multiply
    10,821.12x = 16,228.44 × 3,894
  4. Step 4: Simplify right side
    10,821.12x = 63,193,545.36
  5. Step 5: Solve for x
    x = 63,193,545.36/10,821.12
  6. Step 6: Final answer
    x = 5,839.83

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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.