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Finding the Fourth Proportional to 1,974.70, 2,716.70 and 1,920.03

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Solution

The fourth proportional to 1,974.70, 2,716.70 and 1,920.03 is: 2,641.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.70 : 2,716.70 = 1,920.03 : x
  2. Step 2: Convert to fraction form
    1,974.70/2,716.70 = 1,920.03/x
  3. Step 3: Cross multiply
    1,974.70x = 2,716.70 × 1,920.03
  4. Step 4: Simplify right side
    1,974.70x = 5,216,145.50
  5. Step 5: Solve for x
    x = 5,216,145.50/1,974.70
  6. Step 6: Final answer
    x = 2,641.49

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.