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Finding the Fourth Proportional to 1,991.95, 2,981.75 and 1,696.70

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Solution

The fourth proportional to 1,991.95, 2,981.75 and 1,696.70 is: 2,539.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,991.95 : 2,981.75 = 1,696.70 : x
  2. Step 2: Convert to fraction form
    1,991.95/2,981.75 = 1,696.70/x
  3. Step 3: Cross multiply
    1,991.95x = 2,981.75 × 1,696.70
  4. Step 4: Simplify right side
    1,991.95x = 5,059,134.20
  5. Step 5: Solve for x
    x = 5,059,134.20/1,991.95
  6. Step 6: Final answer
    x = 2,539.79

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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.