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Finding the Fourth Proportional to 2,889, 3,987.36 and 1,647

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Solution

The fourth proportional to 2,889, 3,987.36 and 1,647 is: 2,273.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,889 : 3,987.36 = 1,647 : x
  2. Step 2: Convert to fraction form
    2,889/3,987.36 = 1,647/x
  3. Step 3: Cross multiply
    2,889x = 3,987.36 × 1,647
  4. Step 4: Simplify right side
    2,889x = 6,567,181.92
  5. Step 5: Solve for x
    x = 6,567,181.92/2,889
  6. Step 6: Final answer
    x = 2,273.17

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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.