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Finding the Fourth Proportional to 3,916.67, 5,405.94 and 2,659.82

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Solution

The fourth proportional to 3,916.67, 5,405.94 and 2,659.82 is: 3,671.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,916.67 : 5,405.94 = 2,659.82 : x
  2. Step 2: Convert to fraction form
    3,916.67/5,405.94 = 2,659.82/x
  3. Step 3: Cross multiply
    3,916.67x = 5,405.94 × 2,659.82
  4. Step 4: Simplify right side
    3,916.67x = 14,378,800.30
  5. Step 5: Solve for x
    x = 14,378,800.30/3,916.67
  6. Step 6: Final answer
    x = 3,671.18

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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.