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Finding the Fourth Proportional to 2,750.46, 4,109.82 and 2,078.94

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Solution

The fourth proportional to 2,750.46, 4,109.82 and 2,078.94 is: 3,106.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,750.46 : 4,109.82 = 2,078.94 : x
  2. Step 2: Convert to fraction form
    2,750.46/4,109.82 = 2,078.94/x
  3. Step 3: Cross multiply
    2,750.46x = 4,109.82 × 2,078.94
  4. Step 4: Simplify right side
    2,750.46x = 8,544,069.19
  5. Step 5: Solve for x
    x = 8,544,069.19/2,750.46
  6. Step 6: Final answer
    x = 3,106.41

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.