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Finding the Fourth Proportional to 10,855.91, 16,285.82 and 3,839.99

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Solution

The fourth proportional to 10,855.91, 16,285.82 and 3,839.99 is: 5,760.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,855.91 : 16,285.82 = 3,839.99 : x
  2. Step 2: Convert to fraction form
    10,855.91/16,285.82 = 3,839.99/x
  3. Step 3: Cross multiply
    10,855.91x = 16,285.82 × 3,839.99
  4. Step 4: Simplify right side
    10,855.91x = 62,537,366.74
  5. Step 5: Solve for x
    x = 62,537,366.74/10,855.91
  6. Step 6: Final answer
    x = 5,760.67

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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.