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Finding the Fourth Proportional to 3,778.28, 5,668.32 and 1,929.32

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Solution

The fourth proportional to 3,778.28, 5,668.32 and 1,929.32 is: 2,894.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,778.28 : 5,668.32 = 1,929.32 : x
  2. Step 2: Convert to fraction form
    3,778.28/5,668.32 = 1,929.32/x
  3. Step 3: Cross multiply
    3,778.28x = 5,668.32 × 1,929.32
  4. Step 4: Simplify right side
    3,778.28x = 10,936,003.14
  5. Step 5: Solve for x
    x = 10,936,003.14/3,778.28
  6. Step 6: Final answer
    x = 2,894.44

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1.5x scale

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.