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Finding the Fourth Proportional to 2,778.91, 4,163.75 and 1,955.46

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Solution

The fourth proportional to 2,778.91, 4,163.75 and 1,955.46 is: 2,929.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.91 : 4,163.75 = 1,955.46 : x
  2. Step 2: Convert to fraction form
    2,778.91/4,163.75 = 1,955.46/x
  3. Step 3: Cross multiply
    2,778.91x = 4,163.75 × 1,955.46
  4. Step 4: Simplify right side
    2,778.91x = 8,142,046.58
  5. Step 5: Solve for x
    x = 8,142,046.58/2,778.91
  6. Step 6: Final answer
    x = 2,929.94

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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.