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Finding the Fourth Proportional to 2,391.51, 3,584.21 and 1,929.51

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Solution

The fourth proportional to 2,391.51, 3,584.21 and 1,929.51 is: 2,891.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,391.51 : 3,584.21 = 1,929.51 : x
  2. Step 2: Convert to fraction form
    2,391.51/3,584.21 = 1,929.51/x
  3. Step 3: Cross multiply
    2,391.51x = 3,584.21 × 1,929.51
  4. Step 4: Simplify right side
    2,391.51x = 6,915,759.39
  5. Step 5: Solve for x
    x = 6,915,759.39/2,391.51
  6. Step 6: Final answer
    x = 2,891.80

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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.