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Finding the Fourth Proportional to 1,971.42, 2,954.38 and 996.38

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Solution

The fourth proportional to 1,971.42, 2,954.38 and 996.38 is: 1,493.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,971.42 : 2,954.38 = 996.38 : x
  2. Step 2: Convert to fraction form
    1,971.42/2,954.38 = 996.38/x
  3. Step 3: Cross multiply
    1,971.42x = 2,954.38 × 996.38
  4. Step 4: Simplify right side
    1,971.42x = 2,943,685.14
  5. Step 5: Solve for x
    x = 2,943,685.14/1,971.42
  6. Step 6: Final answer
    x = 1,493.18

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1.5x scale

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.