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Finding the Fourth Proportional to 3,499.89, 4,819.44 and 3,422.28

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Solution

The fourth proportional to 3,499.89, 4,819.44 and 3,422.28 is: 4,712.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,499.89 : 4,819.44 = 3,422.28 : x
  2. Step 2: Convert to fraction form
    3,499.89/4,819.44 = 3,422.28/x
  3. Step 3: Cross multiply
    3,499.89x = 4,819.44 × 3,422.28
  4. Step 4: Simplify right side
    3,499.89x = 16,493,473.12
  5. Step 5: Solve for x
    x = 16,493,473.12/3,499.89
  6. Step 6: Final answer
    x = 4,712.57

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1.5x scale

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.