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Finding the Fourth Proportional to 4,902.94, 6,766.40 and 2,778.46

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Solution

The fourth proportional to 4,902.94, 6,766.40 and 2,778.46 is: 3,834.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,902.94 : 6,766.40 = 2,778.46 : x
  2. Step 2: Convert to fraction form
    4,902.94/6,766.40 = 2,778.46/x
  3. Step 3: Cross multiply
    4,902.94x = 6,766.40 × 2,778.46
  4. Step 4: Simplify right side
    4,902.94x = 18,800,171.74
  5. Step 5: Solve for x
    x = 18,800,171.74/4,902.94
  6. Step 6: Final answer
    x = 3,834.47

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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.