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Finding the Fourth Proportional to 3,205.52, 4,409.64 and 2,805.52

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Solution

The fourth proportional to 3,205.52, 4,409.64 and 2,805.52 is: 3,859.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,205.52 : 4,409.64 = 2,805.52 : x
  2. Step 2: Convert to fraction form
    3,205.52/4,409.64 = 2,805.52/x
  3. Step 3: Cross multiply
    3,205.52x = 4,409.64 × 2,805.52
  4. Step 4: Simplify right side
    3,205.52x = 12,371,333.21
  5. Step 5: Solve for x
    x = 12,371,333.21/3,205.52
  6. Step 6: Final answer
    x = 3,859.38

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1.5x scale

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.