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Finding the Fourth Proportional to 3,519, 4,856.22 and 2,122.20

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Solution

The fourth proportional to 3,519, 4,856.22 and 2,122.20 is: 2,928.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,519 : 4,856.22 = 2,122.20 : x
  2. Step 2: Convert to fraction form
    3,519/4,856.22 = 2,122.20/x
  3. Step 3: Cross multiply
    3,519x = 4,856.22 × 2,122.20
  4. Step 4: Simplify right side
    3,519x = 10,305,870.08
  5. Step 5: Solve for x
    x = 10,305,870.08/3,519
  6. Step 6: Final answer
    x = 2,928.64

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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.