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Finding the Fourth Proportional to 3,097.75, 4,273.50 and 1,838.86

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Solution

The fourth proportional to 3,097.75, 4,273.50 and 1,838.86 is: 2,536.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,097.75 : 4,273.50 = 1,838.86 : x
  2. Step 2: Convert to fraction form
    3,097.75/4,273.50 = 1,838.86/x
  3. Step 3: Cross multiply
    3,097.75x = 4,273.50 × 1,838.86
  4. Step 4: Simplify right side
    3,097.75x = 7,858,368.21
  5. Step 5: Solve for x
    x = 7,858,368.21/3,097.75
  6. Step 6: Final answer
    x = 2,536.80

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1.5x scale

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.