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Finding the Fourth Proportional to 3,856.87, 5,792.46 and 2,009.26

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Solution

The fourth proportional to 3,856.87, 5,792.46 and 2,009.26 is: 3,017.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.87 : 5,792.46 = 2,009.26 : x
  2. Step 2: Convert to fraction form
    3,856.87/5,792.46 = 2,009.26/x
  3. Step 3: Cross multiply
    3,856.87x = 5,792.46 × 2,009.26
  4. Step 4: Simplify right side
    3,856.87x = 11,638,558.18
  5. Step 5: Solve for x
    x = 11,638,558.18/3,856.87
  6. Step 6: Final answer
    x = 3,017.62

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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.