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Finding the Fourth Proportional to 3,083.16, 4,255.02 and 1,686

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Solution

The fourth proportional to 3,083.16, 4,255.02 and 1,686 is: 2,326.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,083.16 : 4,255.02 = 1,686 : x
  2. Step 2: Convert to fraction form
    3,083.16/4,255.02 = 1,686/x
  3. Step 3: Cross multiply
    3,083.16x = 4,255.02 × 1,686
  4. Step 4: Simplify right side
    3,083.16x = 7,173,963.72
  5. Step 5: Solve for x
    x = 7,173,963.72/3,083.16
  6. Step 6: Final answer
    x = 2,326.82

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.