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Finding the Fourth Proportional to 2,969.44, 4,449.90 and 1,668.17

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Solution

The fourth proportional to 2,969.44, 4,449.90 and 1,668.17 is: 2,499.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,969.44 : 4,449.90 = 1,668.17 : x
  2. Step 2: Convert to fraction form
    2,969.44/4,449.90 = 1,668.17/x
  3. Step 3: Cross multiply
    2,969.44x = 4,449.90 × 1,668.17
  4. Step 4: Simplify right side
    2,969.44x = 7,423,189.68
  5. Step 5: Solve for x
    x = 7,423,189.68/2,969.44
  6. Step 6: Final answer
    x = 2,499.86

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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.