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Finding the Fourth Proportional to 3,856.45, 5,322 and 2,283.64

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Solution

The fourth proportional to 3,856.45, 5,322 and 2,283.64 is: 3,151.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,856.45 : 5,322 = 2,283.64 : x
  2. Step 2: Convert to fraction form
    3,856.45/5,322 = 2,283.64/x
  3. Step 3: Cross multiply
    3,856.45x = 5,322 × 2,283.64
  4. Step 4: Simplify right side
    3,856.45x = 12,153,532.08
  5. Step 5: Solve for x
    x = 12,153,532.08/3,856.45
  6. Step 6: Final answer
    x = 3,151.48

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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.