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Finding the Fourth Proportional to 5,221.35, 7,205.67 and 3,098

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Solution

The fourth proportional to 5,221.35, 7,205.67 and 3,098 is: 4,275.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,221.35 : 7,205.67 = 3,098 : x
  2. Step 2: Convert to fraction form
    5,221.35/7,205.67 = 3,098/x
  3. Step 3: Cross multiply
    5,221.35x = 7,205.67 × 3,098
  4. Step 4: Simplify right side
    5,221.35x = 22,323,165.66
  5. Step 5: Solve for x
    x = 22,323,165.66/5,221.35
  6. Step 6: Final answer
    x = 4,275.36

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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.