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Finding the Fourth Proportional to 3,864, 5,332.30 and 2,185.96

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Solution

The fourth proportional to 3,864, 5,332.30 and 2,185.96 is: 3,016.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,864 : 5,332.30 = 2,185.96 : x
  2. Step 2: Convert to fraction form
    3,864/5,332.30 = 2,185.96/x
  3. Step 3: Cross multiply
    3,864x = 5,332.30 × 2,185.96
  4. Step 4: Simplify right side
    3,864x = 11,656,194.51
  5. Step 5: Solve for x
    x = 11,656,194.51/3,864
  6. Step 6: Final answer
    x = 3,016.61

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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.