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Finding the Fourth Proportional to 1,974.99, 2,956.73 and 1,900.11

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Solution

The fourth proportional to 1,974.99, 2,956.73 and 1,900.11 is: 2,844.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.99 : 2,956.73 = 1,900.11 : x
  2. Step 2: Convert to fraction form
    1,974.99/2,956.73 = 1,900.11/x
  3. Step 3: Cross multiply
    1,974.99x = 2,956.73 × 1,900.11
  4. Step 4: Simplify right side
    1,974.99x = 5,618,102.74
  5. Step 5: Solve for x
    x = 5,618,102.74/1,974.99
  6. Step 6: Final answer
    x = 2,844.62

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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.