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Finding the Fourth Proportional to 3,524, 5,289.44 and 2,228.64

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Solution

The fourth proportional to 3,524, 5,289.44 and 2,228.64 is: 3,345.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,524 : 5,289.44 = 2,228.64 : x
  2. Step 2: Convert to fraction form
    3,524/5,289.44 = 2,228.64/x
  3. Step 3: Cross multiply
    3,524x = 5,289.44 × 2,228.64
  4. Step 4: Simplify right side
    3,524x = 11,788,257.56
  5. Step 5: Solve for x
    x = 11,788,257.56/3,524
  6. Step 6: Final answer
    x = 3,345.14

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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.