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Finding the Fourth Proportional to 2,802.21, 3,865.07 and 2,379.65

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Solution

The fourth proportional to 2,802.21, 3,865.07 and 2,379.65 is: 3,282.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,802.21 : 3,865.07 = 2,379.65 : x
  2. Step 2: Convert to fraction form
    2,802.21/3,865.07 = 2,379.65/x
  3. Step 3: Cross multiply
    2,802.21x = 3,865.07 × 2,379.65
  4. Step 4: Simplify right side
    2,802.21x = 9,197,513.83
  5. Step 5: Solve for x
    x = 9,197,513.83/2,802.21
  6. Step 6: Final answer
    x = 3,282.24

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.