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Finding the Fourth Proportional to 2,973.62, 4,103.81 and 1,647.44

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Solution

The fourth proportional to 2,973.62, 4,103.81 and 1,647.44 is: 2,273.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,973.62 : 4,103.81 = 1,647.44 : x
  2. Step 2: Convert to fraction form
    2,973.62/4,103.81 = 1,647.44/x
  3. Step 3: Cross multiply
    2,973.62x = 4,103.81 × 1,647.44
  4. Step 4: Simplify right side
    2,973.62x = 6,760,795.12
  5. Step 5: Solve for x
    x = 6,760,795.12/2,973.62
  6. Step 6: Final answer
    x = 2,273.59

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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.