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Finding the Fourth Proportional to 2,628.16, 3,942.70 and 896.38

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Solution

The fourth proportional to 2,628.16, 3,942.70 and 896.38 is: 1,344.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,628.16 : 3,942.70 = 896.38 : x
  2. Step 2: Convert to fraction form
    2,628.16/3,942.70 = 896.38/x
  3. Step 3: Cross multiply
    2,628.16x = 3,942.70 × 896.38
  4. Step 4: Simplify right side
    2,628.16x = 3,534,157.43
  5. Step 5: Solve for x
    x = 3,534,157.43/2,628.16
  6. Step 6: Final answer
    x = 1,344.73

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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.