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Finding the Fourth Proportional to 2,685.96, 4,028.44 and 836.84

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Solution

The fourth proportional to 2,685.96, 4,028.44 and 836.84 is: 1,255.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.96 : 4,028.44 = 836.84 : x
  2. Step 2: Convert to fraction form
    2,685.96/4,028.44 = 836.84/x
  3. Step 3: Cross multiply
    2,685.96x = 4,028.44 × 836.84
  4. Step 4: Simplify right side
    2,685.96x = 3,371,159.73
  5. Step 5: Solve for x
    x = 3,371,159.73/2,685.96
  6. Step 6: Final answer
    x = 1,255.10

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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.