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Finding the Fourth Proportional to 5,353.68, 8,028.48 and 2,147

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Solution

The fourth proportional to 5,353.68, 8,028.48 and 2,147 is: 3,219.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,353.68 : 8,028.48 = 2,147 : x
  2. Step 2: Convert to fraction form
    5,353.68/8,028.48 = 2,147/x
  3. Step 3: Cross multiply
    5,353.68x = 8,028.48 × 2,147
  4. Step 4: Simplify right side
    5,353.68x = 17,237,146.56
  5. Step 5: Solve for x
    x = 17,237,146.56/5,353.68
  6. Step 6: Final answer
    x = 3,219.68

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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.