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Finding the Fourth Proportional to 6,638.63, 9,949.29 and 3,349.93

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Solution

The fourth proportional to 6,638.63, 9,949.29 and 3,349.93 is: 5,020.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,638.63 : 9,949.29 = 3,349.93 : x
  2. Step 2: Convert to fraction form
    6,638.63/9,949.29 = 3,349.93/x
  3. Step 3: Cross multiply
    6,638.63x = 9,949.29 × 3,349.93
  4. Step 4: Simplify right side
    6,638.63x = 33,329,425.05
  5. Step 5: Solve for x
    x = 33,329,425.05/6,638.63
  6. Step 6: Final answer
    x = 5,020.53

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.