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Finding the Fourth Proportional to 2,668.80, 3,991.44 and 2,378.40

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Solution

The fourth proportional to 2,668.80, 3,991.44 and 2,378.40 is: 3,557.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,668.80 : 3,991.44 = 2,378.40 : x
  2. Step 2: Convert to fraction form
    2,668.80/3,991.44 = 2,378.40/x
  3. Step 3: Cross multiply
    2,668.80x = 3,991.44 × 2,378.40
  4. Step 4: Simplify right side
    2,668.80x = 9,493,240.90
  5. Step 5: Solve for x
    x = 9,493,240.90/2,668.80
  6. Step 6: Final answer
    x = 3,557.12

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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.