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Finding the Fourth Proportional to 4,657.89, 6,991.42 and 3,421.83

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Solution

The fourth proportional to 4,657.89, 6,991.42 and 3,421.83 is: 5,136.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,657.89 : 6,991.42 = 3,421.83 : x
  2. Step 2: Convert to fraction form
    4,657.89/6,991.42 = 3,421.83/x
  3. Step 3: Cross multiply
    4,657.89x = 6,991.42 × 3,421.83
  4. Step 4: Simplify right side
    4,657.89x = 23,923,450.70
  5. Step 5: Solve for x
    x = 23,923,450.70/4,657.89
  6. Step 6: Final answer
    x = 5,136.11

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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.