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Finding the Fourth Proportional to 5,855.56, 8,769.12 and 3,219.04

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Solution

The fourth proportional to 5,855.56, 8,769.12 and 3,219.04 is: 4,820.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,855.56 : 8,769.12 = 3,219.04 : x
  2. Step 2: Convert to fraction form
    5,855.56/8,769.12 = 3,219.04/x
  3. Step 3: Cross multiply
    5,855.56x = 8,769.12 × 3,219.04
  4. Step 4: Simplify right side
    5,855.56x = 28,228,148.04
  5. Step 5: Solve for x
    x = 28,228,148.04/5,855.56
  6. Step 6: Final answer
    x = 4,820.74

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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.