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Finding the Fourth Proportional to 2,930.70, 4,396.80 and 2,066.70

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Solution

The fourth proportional to 2,930.70, 4,396.80 and 2,066.70 is: 3,100.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,930.70 : 4,396.80 = 2,066.70 : x
  2. Step 2: Convert to fraction form
    2,930.70/4,396.80 = 2,066.70/x
  3. Step 3: Cross multiply
    2,930.70x = 4,396.80 × 2,066.70
  4. Step 4: Simplify right side
    2,930.70x = 9,086,866.56
  5. Step 5: Solve for x
    x = 9,086,866.56/2,930.70
  6. Step 6: Final answer
    x = 3,100.58

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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.