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Finding the Fourth Proportional to 2,107.99, 3,161.87 and 1,009.02

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Solution

The fourth proportional to 2,107.99, 3,161.87 and 1,009.02 is: 1,513.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,107.99 : 3,161.87 = 1,009.02 : x
  2. Step 2: Convert to fraction form
    2,107.99/3,161.87 = 1,009.02/x
  3. Step 3: Cross multiply
    2,107.99x = 3,161.87 × 1,009.02
  4. Step 4: Simplify right side
    2,107.99x = 3,190,400.66
  5. Step 5: Solve for x
    x = 3,190,400.66/2,107.99
  6. Step 6: Final answer
    x = 1,513.48

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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.