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Finding the Fourth Proportional to 2,406.43, 3,608.97 and 1,019.71

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Solution

The fourth proportional to 2,406.43, 3,608.97 and 1,019.71 is: 1,529.28

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,406.43 : 3,608.97 = 1,019.71 : x
  2. Step 2: Convert to fraction form
    2,406.43/3,608.97 = 1,019.71/x
  3. Step 3: Cross multiply
    2,406.43x = 3,608.97 × 1,019.71
  4. Step 4: Simplify right side
    2,406.43x = 3,680,102.80
  5. Step 5: Solve for x
    x = 3,680,102.80/2,406.43
  6. Step 6: Final answer
    x = 1,529.28

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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.