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Finding the Fourth Proportional to 3,510, 5,257.51 and 2,273.74

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Solution

The fourth proportional to 3,510, 5,257.51 and 2,273.74 is: 3,405.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,510 : 5,257.51 = 2,273.74 : x
  2. Step 2: Convert to fraction form
    3,510/5,257.51 = 2,273.74/x
  3. Step 3: Cross multiply
    3,510x = 5,257.51 × 2,273.74
  4. Step 4: Simplify right side
    3,510x = 11,954,191.96
  5. Step 5: Solve for x
    x = 11,954,191.96/3,510
  6. Step 6: Final answer
    x = 3,405.75

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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.