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Finding the Fourth Proportional to 3,258.68, 4,892.46 and 2,819.24

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Solution

The fourth proportional to 3,258.68, 4,892.46 and 2,819.24 is: 4,232.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,258.68 : 4,892.46 = 2,819.24 : x
  2. Step 2: Convert to fraction form
    3,258.68/4,892.46 = 2,819.24/x
  3. Step 3: Cross multiply
    3,258.68x = 4,892.46 × 2,819.24
  4. Step 4: Simplify right side
    3,258.68x = 13,793,018.93
  5. Step 5: Solve for x
    x = 13,793,018.93/3,258.68
  6. Step 6: Final answer
    x = 4,232.70

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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.