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Finding the Fourth Proportional to 3,398.68, 5,097.84 and 1,090

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Solution

The fourth proportional to 3,398.68, 5,097.84 and 1,090 is: 1,634.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,398.68 : 5,097.84 = 1,090 : x
  2. Step 2: Convert to fraction form
    3,398.68/5,097.84 = 1,090/x
  3. Step 3: Cross multiply
    3,398.68x = 5,097.84 × 1,090
  4. Step 4: Simplify right side
    3,398.68x = 5,556,645.60
  5. Step 5: Solve for x
    x = 5,556,645.60/3,398.68
  6. Step 6: Final answer
    x = 1,634.94

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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.