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Finding the Fourth Proportional to 3,856.98, 5,323.41 and 2,286

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Solution

The fourth proportional to 3,856.98, 5,323.41 and 2,286 is: 3,155.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.98 : 5,323.41 = 2,286 : x
  2. Step 2: Convert to fraction form
    3,856.98/5,323.41 = 2,286/x
  3. Step 3: Cross multiply
    3,856.98x = 5,323.41 × 2,286
  4. Step 4: Simplify right side
    3,856.98x = 12,169,315.26
  5. Step 5: Solve for x
    x = 12,169,315.26/3,856.98
  6. Step 6: Final answer
    x = 3,155.14

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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.