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Finding the Fourth Proportional to 6,621.98, 9,138.48 and 3,638.00

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Solution

The fourth proportional to 6,621.98, 9,138.48 and 3,638.00 is: 5,020.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,621.98 : 9,138.48 = 3,638.00 : x
  2. Step 2: Convert to fraction form
    6,621.98/9,138.48 = 3,638.00/x
  3. Step 3: Cross multiply
    6,621.98x = 9,138.48 × 3,638.00
  4. Step 4: Simplify right side
    6,621.98x = 33,245,744.55
  5. Step 5: Solve for x
    x = 33,245,744.55/6,621.98
  6. Step 6: Final answer
    x = 5,020.52

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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.