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Finding the Fourth Proportional to 3,617.69, 4,992.10 and 2,202.01

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Solution

The fourth proportional to 3,617.69, 4,992.10 and 2,202.01 is: 3,038.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,617.69 : 4,992.10 = 2,202.01 : x
  2. Step 2: Convert to fraction form
    3,617.69/4,992.10 = 2,202.01/x
  3. Step 3: Cross multiply
    3,617.69x = 4,992.10 × 2,202.01
  4. Step 4: Simplify right side
    3,617.69x = 10,992,636.14
  5. Step 5: Solve for x
    x = 10,992,636.14/3,617.69
  6. Step 6: Final answer
    x = 3,038.58

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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.