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Finding the Fourth Proportional to 3,104.75, 4,284.75 and 1,778.43

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Solution

The fourth proportional to 3,104.75, 4,284.75 and 1,778.43 is: 2,454.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,104.75 : 4,284.75 = 1,778.43 : x
  2. Step 2: Convert to fraction form
    3,104.75/4,284.75 = 1,778.43/x
  3. Step 3: Cross multiply
    3,104.75x = 4,284.75 × 1,778.43
  4. Step 4: Simplify right side
    3,104.75x = 7,620,127.94
  5. Step 5: Solve for x
    x = 7,620,127.94/3,104.75
  6. Step 6: Final answer
    x = 2,454.35

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.