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Finding the Fourth Proportional to 3,097.14, 4,274 and 1,699.88

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Solution

The fourth proportional to 3,097.14, 4,274 and 1,699.88 is: 2,345.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.14 : 4,274 = 1,699.88 : x
  2. Step 2: Convert to fraction form
    3,097.14/4,274 = 1,699.88/x
  3. Step 3: Cross multiply
    3,097.14x = 4,274 × 1,699.88
  4. Step 4: Simplify right side
    3,097.14x = 7,265,287.12
  5. Step 5: Solve for x
    x = 7,265,287.12/3,097.14
  6. Step 6: Final answer
    x = 2,345.81

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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.