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Finding the Fourth Proportional to 2,066.70, 3,099.39 and 679.72

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Solution

The fourth proportional to 2,066.70, 3,099.39 and 679.72 is: 1,019.36

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,066.70 : 3,099.39 = 679.72 : x
  2. Step 2: Convert to fraction form
    2,066.70/3,099.39 = 679.72/x
  3. Step 3: Cross multiply
    2,066.70x = 3,099.39 × 679.72
  4. Step 4: Simplify right side
    2,066.70x = 2,106,708.95
  5. Step 5: Solve for x
    x = 2,106,708.95/2,066.70
  6. Step 6: Final answer
    x = 1,019.36

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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.