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Finding the Fourth Proportional to 3,399, 5,099.40 and 1,090.56

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Solution

The fourth proportional to 3,399, 5,099.40 and 1,090.56 is: 1,636.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,399 : 5,099.40 = 1,090.56 : x
  2. Step 2: Convert to fraction form
    3,399/5,099.40 = 1,090.56/x
  3. Step 3: Cross multiply
    3,399x = 5,099.40 × 1,090.56
  4. Step 4: Simplify right side
    3,399x = 5,561,201.66
  5. Step 5: Solve for x
    x = 5,561,201.66/3,399
  6. Step 6: Final answer
    x = 1,636.13

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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.