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Finding the Fourth Proportional to 2,819.60, 4,221.30 and 2,495.60

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Solution

The fourth proportional to 2,819.60, 4,221.30 and 2,495.60 is: 3,736.23

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,819.60 : 4,221.30 = 2,495.60 : x
  2. Step 2: Convert to fraction form
    2,819.60/4,221.30 = 2,495.60/x
  3. Step 3: Cross multiply
    2,819.60x = 4,221.30 × 2,495.60
  4. Step 4: Simplify right side
    2,819.60x = 10,534,676.28
  5. Step 5: Solve for x
    x = 10,534,676.28/2,819.60
  6. Step 6: Final answer
    x = 3,736.23

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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.