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Finding the Fourth Proportional to 3,486.96, 5,223.96 and 2,098.80

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Solution

The fourth proportional to 3,486.96, 5,223.96 and 2,098.80 is: 3,144.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,486.96 : 5,223.96 = 2,098.80 : x
  2. Step 2: Convert to fraction form
    3,486.96/5,223.96 = 2,098.80/x
  3. Step 3: Cross multiply
    3,486.96x = 5,223.96 × 2,098.80
  4. Step 4: Simplify right side
    3,486.96x = 10,964,047.25
  5. Step 5: Solve for x
    x = 10,964,047.25/3,486.96
  6. Step 6: Final answer
    x = 3,144.30

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.