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Finding the Fourth Proportional to 2,106.69, 2,906.25 and 1,350.02

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Solution

The fourth proportional to 2,106.69, 2,906.25 and 1,350.02 is: 1,862.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,106.69 : 2,906.25 = 1,350.02 : x
  2. Step 2: Convert to fraction form
    2,106.69/2,906.25 = 1,350.02/x
  3. Step 3: Cross multiply
    2,106.69x = 2,906.25 × 1,350.02
  4. Step 4: Simplify right side
    2,106.69x = 3,923,481.09
  5. Step 5: Solve for x
    x = 3,923,481.09/2,106.69
  6. Step 6: Final answer
    x = 1,862.39

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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.