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Finding the Fourth Proportional to 4,455.50, 6,684.87 and 2,262.56

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Solution

The fourth proportional to 4,455.50, 6,684.87 and 2,262.56 is: 3,394.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,455.50 : 6,684.87 = 2,262.56 : x
  2. Step 2: Convert to fraction form
    4,455.50/6,684.87 = 2,262.56/x
  3. Step 3: Cross multiply
    4,455.50x = 6,684.87 × 2,262.56
  4. Step 4: Simplify right side
    4,455.50x = 15,124,919.47
  5. Step 5: Solve for x
    x = 15,124,919.47/4,455.50
  6. Step 6: Final answer
    x = 3,394.66

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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.