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Finding the Fourth Proportional to 3,099.97, 4,278 and 1,683.66

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Solution

The fourth proportional to 3,099.97, 4,278 and 1,683.66 is: 2,323.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,099.97 : 4,278 = 1,683.66 : x
  2. Step 2: Convert to fraction form
    3,099.97/4,278 = 1,683.66/x
  3. Step 3: Cross multiply
    3,099.97x = 4,278 × 1,683.66
  4. Step 4: Simplify right side
    3,099.97x = 7,202,697.48
  5. Step 5: Solve for x
    x = 7,202,697.48/3,099.97
  6. Step 6: Final answer
    x = 2,323.48

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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.