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Finding the Fourth Proportional to 5,220, 7,205.22 and 3,357

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Solution

The fourth proportional to 5,220, 7,205.22 and 3,357 is: 4,633.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,220 : 7,205.22 = 3,357 : x
  2. Step 2: Convert to fraction form
    5,220/7,205.22 = 3,357/x
  3. Step 3: Cross multiply
    5,220x = 7,205.22 × 3,357
  4. Step 4: Simplify right side
    5,220x = 24,187,923.54
  5. Step 5: Solve for x
    x = 24,187,923.54/5,220
  6. Step 6: Final answer
    x = 4,633.70

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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.