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Finding the Fourth Proportional to 2,392.81, 3,584.05 and 1,294.85

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Solution

The fourth proportional to 2,392.81, 3,584.05 and 1,294.85 is: 1,939.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,392.81 : 3,584.05 = 1,294.85 : x
  2. Step 2: Convert to fraction form
    2,392.81/3,584.05 = 1,294.85/x
  3. Step 3: Cross multiply
    2,392.81x = 3,584.05 × 1,294.85
  4. Step 4: Simplify right side
    2,392.81x = 4,640,812.87
  5. Step 5: Solve for x
    x = 4,640,812.87/2,392.81
  6. Step 6: Final answer
    x = 1,939.48

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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.