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Finding the Fourth Proportional to 6,621.98, 9,138.90 and 3,638.43

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Solution

The fourth proportional to 6,621.98, 9,138.90 and 3,638.43 is: 5,021.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,621.98 : 9,138.90 = 3,638.43 : x
  2. Step 2: Convert to fraction form
    6,621.98/9,138.90 = 3,638.43/x
  3. Step 3: Cross multiply
    6,621.98x = 9,138.90 × 3,638.43
  4. Step 4: Simplify right side
    6,621.98x = 33,251,247.93
  5. Step 5: Solve for x
    x = 33,251,247.93/6,621.98
  6. Step 6: Final answer
    x = 5,021.35

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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.