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Finding the Fourth Proportional to 2,197.00, 3,283.71 and 1,917.14

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Solution

The fourth proportional to 2,197.00, 3,283.71 and 1,917.14 is: 2,865.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,197.00 : 3,283.71 = 1,917.14 : x
  2. Step 2: Convert to fraction form
    2,197.00/3,283.71 = 1,917.14/x
  3. Step 3: Cross multiply
    2,197.00x = 3,283.71 × 1,917.14
  4. Step 4: Simplify right side
    2,197.00x = 6,295,340.00
  5. Step 5: Solve for x
    x = 6,295,340.00/2,197.00
  6. Step 6: Final answer
    x = 2,865.43

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.