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Finding the Fourth Proportional to 7,098.42, 9,795.84 and 3,911.61

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Solution

The fourth proportional to 7,098.42, 9,795.84 and 3,911.61 is: 5,398.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,098.42 : 9,795.84 = 3,911.61 : x
  2. Step 2: Convert to fraction form
    7,098.42/9,795.84 = 3,911.61/x
  3. Step 3: Cross multiply
    7,098.42x = 9,795.84 × 3,911.61
  4. Step 4: Simplify right side
    7,098.42x = 38,317,505.70
  5. Step 5: Solve for x
    x = 38,317,505.70/7,098.42
  6. Step 6: Final answer
    x = 5,398.03

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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.