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Finding the Fourth Proportional to 2,647.97, 3,971.99 and 1,004.07

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Solution

The fourth proportional to 2,647.97, 3,971.99 and 1,004.07 is: 1,506.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,647.97 : 3,971.99 = 1,004.07 : x
  2. Step 2: Convert to fraction form
    2,647.97/3,971.99 = 1,004.07/x
  3. Step 3: Cross multiply
    2,647.97x = 3,971.99 × 1,004.07
  4. Step 4: Simplify right side
    2,647.97x = 3,988,150.98
  5. Step 5: Solve for x
    x = 3,988,150.98/2,647.97
  6. Step 6: Final answer
    x = 1,506.12

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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.