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Finding the Fourth Proportional to 2,069.74, 3,100.20 and 1,656.64

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Solution

The fourth proportional to 2,069.74, 3,100.20 and 1,656.64 is: 2,481.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,069.74 : 3,100.20 = 1,656.64 : x
  2. Step 2: Convert to fraction form
    2,069.74/3,100.20 = 1,656.64/x
  3. Step 3: Cross multiply
    2,069.74x = 3,100.20 × 1,656.64
  4. Step 4: Simplify right side
    2,069.74x = 5,135,915.33
  5. Step 5: Solve for x
    x = 5,135,915.33/2,069.74
  6. Step 6: Final answer
    x = 2,481.43

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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.