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Finding the Fourth Proportional to 5,619.92, 8,429.94 and 2,499.20

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Solution

The fourth proportional to 5,619.92, 8,429.94 and 2,499.20 is: 3,748.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,619.92 : 8,429.94 = 2,499.20 : x
  2. Step 2: Convert to fraction form
    5,619.92/8,429.94 = 2,499.20/x
  3. Step 3: Cross multiply
    5,619.92x = 8,429.94 × 2,499.20
  4. Step 4: Simplify right side
    5,619.92x = 21,068,106.05
  5. Step 5: Solve for x
    x = 21,068,106.05/5,619.92
  6. Step 6: Final answer
    x = 3,748.83

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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.