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Finding the Fourth Proportional to 3,891.55, 5,835.59 and 1,424.65

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Solution

The fourth proportional to 3,891.55, 5,835.59 and 1,424.65 is: 2,136.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,891.55 : 5,835.59 = 1,424.65 : x
  2. Step 2: Convert to fraction form
    3,891.55/5,835.59 = 1,424.65/x
  3. Step 3: Cross multiply
    3,891.55x = 5,835.59 × 1,424.65
  4. Step 4: Simplify right side
    3,891.55x = 8,313,636.99
  5. Step 5: Solve for x
    x = 8,313,636.99/3,891.55
  6. Step 6: Final answer
    x = 2,136.33

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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.