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Finding the Fourth Proportional to 1,295.94, 1,940.76 and 1,263.06

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Solution

The fourth proportional to 1,295.94, 1,940.76 and 1,263.06 is: 1,891.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,295.94 : 1,940.76 = 1,263.06 : x
  2. Step 2: Convert to fraction form
    1,295.94/1,940.76 = 1,263.06/x
  3. Step 3: Cross multiply
    1,295.94x = 1,940.76 × 1,263.06
  4. Step 4: Simplify right side
    1,295.94x = 2,451,296.33
  5. Step 5: Solve for x
    x = 2,451,296.33/1,295.94
  6. Step 6: Final answer
    x = 1,891.52

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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.