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Finding the Fourth Proportional to 3,221.62, 4,833.24 and 913.12

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Solution

The fourth proportional to 3,221.62, 4,833.24 and 913.12 is: 1,369.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,221.62 : 4,833.24 = 913.12 : x
  2. Step 2: Convert to fraction form
    3,221.62/4,833.24 = 913.12/x
  3. Step 3: Cross multiply
    3,221.62x = 4,833.24 × 913.12
  4. Step 4: Simplify right side
    3,221.62x = 4,413,328.11
  5. Step 5: Solve for x
    x = 4,413,328.11/3,221.62
  6. Step 6: Final answer
    x = 1,369.91

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1.5x scale

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.