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Finding the Fourth Proportional to 1,782.94, 2,684.77 and 1,323.94

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Solution

The fourth proportional to 1,782.94, 2,684.77 and 1,323.94 is: 1,993.60

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,782.94 : 2,684.77 = 1,323.94 : x
  2. Step 2: Convert to fraction form
    1,782.94/2,684.77 = 1,323.94/x
  3. Step 3: Cross multiply
    1,782.94x = 2,684.77 × 1,323.94
  4. Step 4: Simplify right side
    1,782.94x = 3,554,474.39
  5. Step 5: Solve for x
    x = 3,554,474.39/1,782.94
  6. Step 6: Final answer
    x = 1,993.60

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.