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Finding the Fourth Proportional to 3,869.84, 5,802.84 and 2,758.65

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Solution

The fourth proportional to 3,869.84, 5,802.84 and 2,758.65 is: 4,136.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869.84 : 5,802.84 = 2,758.65 : x
  2. Step 2: Convert to fraction form
    3,869.84/5,802.84 = 2,758.65/x
  3. Step 3: Cross multiply
    3,869.84x = 5,802.84 × 2,758.65
  4. Step 4: Simplify right side
    3,869.84x = 16,008,004.57
  5. Step 5: Solve for x
    x = 16,008,004.57/3,869.84
  6. Step 6: Final answer
    x = 4,136.61

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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.