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Finding the Fourth Proportional to 5,714.86, 8,572.20 and 1,819.22

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Solution

The fourth proportional to 5,714.86, 8,572.20 and 1,819.22 is: 2,728.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,714.86 : 8,572.20 = 1,819.22 : x
  2. Step 2: Convert to fraction form
    5,714.86/8,572.20 = 1,819.22/x
  3. Step 3: Cross multiply
    5,714.86x = 8,572.20 × 1,819.22
  4. Step 4: Simplify right side
    5,714.86x = 15,594,717.68
  5. Step 5: Solve for x
    x = 15,594,717.68/5,714.86
  6. Step 6: Final answer
    x = 2,728.80

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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.