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Finding the Fourth Proportional to 6,103.50, 8,420.01 and 3,584.81

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Solution

The fourth proportional to 6,103.50, 8,420.01 and 3,584.81 is: 4,945.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,103.50 : 8,420.01 = 3,584.81 : x
  2. Step 2: Convert to fraction form
    6,103.50/8,420.01 = 3,584.81/x
  3. Step 3: Cross multiply
    6,103.50x = 8,420.01 × 3,584.81
  4. Step 4: Simplify right side
    6,103.50x = 30,184,136.05
  5. Step 5: Solve for x
    x = 30,184,136.05/6,103.50
  6. Step 6: Final answer
    x = 4,945.38

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.