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Finding the Fourth Proportional to 2,685.94, 4,028.74 and 836.79

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Solution

The fourth proportional to 2,685.94, 4,028.74 and 836.79 is: 1,255.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,685.94 : 4,028.74 = 836.79 : x
  2. Step 2: Convert to fraction form
    2,685.94/4,028.74 = 836.79/x
  3. Step 3: Cross multiply
    2,685.94x = 4,028.74 × 836.79
  4. Step 4: Simplify right side
    2,685.94x = 3,371,210.39
  5. Step 5: Solve for x
    x = 3,371,210.39/2,685.94
  6. Step 6: Final answer
    x = 1,255.13

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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.