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Finding the Fourth Proportional to 3,097, 4,273.86 and 1,699.75

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Solution

The fourth proportional to 3,097, 4,273.86 and 1,699.75 is: 2,345.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097 : 4,273.86 = 1,699.75 : x
  2. Step 2: Convert to fraction form
    3,097/4,273.86 = 1,699.75/x
  3. Step 3: Cross multiply
    3,097x = 4,273.86 × 1,699.75
  4. Step 4: Simplify right side
    3,097x = 7,264,493.54
  5. Step 5: Solve for x
    x = 7,264,493.54/3,097
  6. Step 6: Final answer
    x = 2,345.66

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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.