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Finding the Fourth Proportional to 7,199.16, 10,801.44 and 2,819.64

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Solution

The fourth proportional to 7,199.16, 10,801.44 and 2,819.64 is: 4,230.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,199.16 : 10,801.44 = 2,819.64 : x
  2. Step 2: Convert to fraction form
    7,199.16/10,801.44 = 2,819.64/x
  3. Step 3: Cross multiply
    7,199.16x = 10,801.44 × 2,819.64
  4. Step 4: Simplify right side
    7,199.16x = 30,456,172.28
  5. Step 5: Solve for x
    x = 30,456,172.28/7,199.16
  6. Step 6: Final answer
    x = 4,230.52

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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.