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Finding the Fourth Proportional to 2,778.84, 3,835.18 and 2,687.68

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Solution

The fourth proportional to 2,778.84, 3,835.18 and 2,687.68 is: 3,709.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,778.84 : 3,835.18 = 2,687.68 : x
  2. Step 2: Convert to fraction form
    2,778.84/3,835.18 = 2,687.68/x
  3. Step 3: Cross multiply
    2,778.84x = 3,835.18 × 2,687.68
  4. Step 4: Simplify right side
    2,778.84x = 10,307,736.58
  5. Step 5: Solve for x
    x = 10,307,736.58/2,778.84
  6. Step 6: Final answer
    x = 3,709.37

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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.