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Finding the Fourth Proportional to 5,828.78, 8,743.08 and 1,446.21

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Solution

The fourth proportional to 5,828.78, 8,743.08 and 1,446.21 is: 2,169.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,828.78 : 8,743.08 = 1,446.21 : x
  2. Step 2: Convert to fraction form
    5,828.78/8,743.08 = 1,446.21/x
  3. Step 3: Cross multiply
    5,828.78x = 8,743.08 × 1,446.21
  4. Step 4: Simplify right side
    5,828.78x = 12,644,329.73
  5. Step 5: Solve for x
    x = 12,644,329.73/5,828.78
  6. Step 6: Final answer
    x = 2,169.29

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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.