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Finding the Fourth Proportional to 1,974.24, 2,960.90 and 878

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Solution

The fourth proportional to 1,974.24, 2,960.90 and 878 is: 1,316.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,974.24 : 2,960.90 = 878 : x
  2. Step 2: Convert to fraction form
    1,974.24/2,960.90 = 878/x
  3. Step 3: Cross multiply
    1,974.24x = 2,960.90 × 878
  4. Step 4: Simplify right side
    1,974.24x = 2,599,665.81
  5. Step 5: Solve for x
    x = 2,599,665.81/1,974.24
  6. Step 6: Final answer
    x = 1,316.80

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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.