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Finding the Fourth Proportional to 6,004.21, 8,290.20 and 3,881

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Solution

The fourth proportional to 6,004.21, 8,290.20 and 3,881 is: 5,358.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,004.21 : 8,290.20 = 3,881 : x
  2. Step 2: Convert to fraction form
    6,004.21/8,290.20 = 3,881/x
  3. Step 3: Cross multiply
    6,004.21x = 8,290.20 × 3,881
  4. Step 4: Simplify right side
    6,004.21x = 32,174,266.20
  5. Step 5: Solve for x
    x = 32,174,266.20/6,004.21
  6. Step 6: Final answer
    x = 5,358.62

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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.