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Finding the Fourth Proportional to 1,959.71, 2,940.44 and 986.49

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Solution

The fourth proportional to 1,959.71, 2,940.44 and 986.49 is: 1,480.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,959.71 : 2,940.44 = 986.49 : x
  2. Step 2: Convert to fraction form
    1,959.71/2,940.44 = 986.49/x
  3. Step 3: Cross multiply
    1,959.71x = 2,940.44 × 986.49
  4. Step 4: Simplify right side
    1,959.71x = 2,900,709.72
  5. Step 5: Solve for x
    x = 2,900,709.72/1,959.71
  6. Step 6: Final answer
    x = 1,480.18

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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.