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Finding the Fourth Proportional to 6,201.42, 8,563.50 and 4,626.78

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Solution

The fourth proportional to 6,201.42, 8,563.50 and 4,626.78 is: 6,389.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.42 : 8,563.50 = 4,626.78 : x
  2. Step 2: Convert to fraction form
    6,201.42/8,563.50 = 4,626.78/x
  3. Step 3: Cross multiply
    6,201.42x = 8,563.50 × 4,626.78
  4. Step 4: Simplify right side
    6,201.42x = 39,621,430.53
  5. Step 5: Solve for x
    x = 39,621,430.53/6,201.42
  6. Step 6: Final answer
    x = 6,389.09

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