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Finding the Fourth Proportional to 2,736.28, 4,104.39 and 684.28

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Solution

The fourth proportional to 2,736.28, 4,104.39 and 684.28 is: 1,026.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,736.28 : 4,104.39 = 684.28 : x
  2. Step 2: Convert to fraction form
    2,736.28/4,104.39 = 684.28/x
  3. Step 3: Cross multiply
    2,736.28x = 4,104.39 × 684.28
  4. Step 4: Simplify right side
    2,736.28x = 2,808,551.99
  5. Step 5: Solve for x
    x = 2,808,551.99/2,736.28
  6. Step 6: Final answer
    x = 1,026.41

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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.