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Finding the Fourth Proportional to 2,768.84, 3,820.74 and 2,246.12

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Solution

The fourth proportional to 2,768.84, 3,820.74 and 2,246.12 is: 3,099.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,768.84 : 3,820.74 = 2,246.12 : x
  2. Step 2: Convert to fraction form
    2,768.84/3,820.74 = 2,246.12/x
  3. Step 3: Cross multiply
    2,768.84x = 3,820.74 × 2,246.12
  4. Step 4: Simplify right side
    2,768.84x = 8,581,840.53
  5. Step 5: Solve for x
    x = 8,581,840.53/2,768.84
  6. Step 6: Final answer
    x = 3,099.44

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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.