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Finding the Fourth Proportional to 3,564, 4,919.40 and 2,322

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Solution

The fourth proportional to 3,564, 4,919.40 and 2,322 is: 3,205.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,564 : 4,919.40 = 2,322 : x
  2. Step 2: Convert to fraction form
    3,564/4,919.40 = 2,322/x
  3. Step 3: Cross multiply
    3,564x = 4,919.40 × 2,322
  4. Step 4: Simplify right side
    3,564x = 11,422,846.80
  5. Step 5: Solve for x
    x = 11,422,846.80/3,564
  6. Step 6: Final answer
    x = 3,205.06

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.