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Finding the Fourth Proportional to 5,418.96, 8,129.46 and 1,721.46

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Solution

The fourth proportional to 5,418.96, 8,129.46 and 1,721.46 is: 2,582.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,418.96 : 8,129.46 = 1,721.46 : x
  2. Step 2: Convert to fraction form
    5,418.96/8,129.46 = 1,721.46/x
  3. Step 3: Cross multiply
    5,418.96x = 8,129.46 × 1,721.46
  4. Step 4: Simplify right side
    5,418.96x = 13,994,540.21
  5. Step 5: Solve for x
    x = 13,994,540.21/5,418.96
  6. Step 6: Final answer
    x = 2,582.51

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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.