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Finding the Fourth Proportional to 1,967.36, 2,940.30 and 1,811.68

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Solution

The fourth proportional to 1,967.36, 2,940.30 and 1,811.68 is: 2,707.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.36 : 2,940.30 = 1,811.68 : x
  2. Step 2: Convert to fraction form
    1,967.36/2,940.30 = 1,811.68/x
  3. Step 3: Cross multiply
    1,967.36x = 2,940.30 × 1,811.68
  4. Step 4: Simplify right side
    1,967.36x = 5,326,882.70
  5. Step 5: Solve for x
    x = 5,326,882.70/1,967.36
  6. Step 6: Final answer
    x = 2,707.63

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.