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Finding the Fourth Proportional to 3,869, 5,339.32 and 2,100.61

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Solution

The fourth proportional to 3,869, 5,339.32 and 2,100.61 is: 2,898.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,869 : 5,339.32 = 2,100.61 : x
  2. Step 2: Convert to fraction form
    3,869/5,339.32 = 2,100.61/x
  3. Step 3: Cross multiply
    3,869x = 5,339.32 × 2,100.61
  4. Step 4: Simplify right side
    3,869x = 11,215,802.29
  5. Step 5: Solve for x
    x = 11,215,802.29/3,869
  6. Step 6: Final answer
    x = 2,898.89

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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.