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Finding the Fourth Proportional to 2,091.94, 3,133.86 and 1,972.06

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Solution

The fourth proportional to 2,091.94, 3,133.86 and 1,972.06 is: 2,954.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,091.94 : 3,133.86 = 1,972.06 : x
  2. Step 2: Convert to fraction form
    2,091.94/3,133.86 = 1,972.06/x
  3. Step 3: Cross multiply
    2,091.94x = 3,133.86 × 1,972.06
  4. Step 4: Simplify right side
    2,091.94x = 6,180,159.95
  5. Step 5: Solve for x
    x = 6,180,159.95/2,091.94
  6. Step 6: Final answer
    x = 2,954.27

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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.