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Finding the Fourth Proportional to 2,146.00, 3,201.73 and 1,912.10

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Solution

The fourth proportional to 2,146.00, 3,201.73 and 1,912.10 is: 2,852.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,146.00 : 3,201.73 = 1,912.10 : x
  2. Step 2: Convert to fraction form
    2,146.00/3,201.73 = 1,912.10/x
  3. Step 3: Cross multiply
    2,146.00x = 3,201.73 × 1,912.10
  4. Step 4: Simplify right side
    2,146.00x = 6,122,027.93
  5. Step 5: Solve for x
    x = 6,122,027.93/2,146.00
  6. Step 6: Final answer
    x = 2,852.77

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1.5x scale

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.