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Finding the Fourth Proportional to 4,684.62, 7,027.34 and 1,221.90

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Solution

The fourth proportional to 4,684.62, 7,027.34 and 1,221.90 is: 1,832.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,684.62 : 7,027.34 = 1,221.90 : x
  2. Step 2: Convert to fraction form
    4,684.62/7,027.34 = 1,221.90/x
  3. Step 3: Cross multiply
    4,684.62x = 7,027.34 × 1,221.90
  4. Step 4: Simplify right side
    4,684.62x = 8,586,706.75
  5. Step 5: Solve for x
    x = 8,586,706.75/4,684.62
  6. Step 6: Final answer
    x = 1,832.96

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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.