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Finding the Fourth Proportional to 3,668, 5,058.68 and 2,268.32

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Solution

The fourth proportional to 3,668, 5,058.68 and 2,268.32 is: 3,128.33

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,668 : 5,058.68 = 2,268.32 : x
  2. Step 2: Convert to fraction form
    3,668/5,058.68 = 2,268.32/x
  3. Step 3: Cross multiply
    3,668x = 5,058.68 × 2,268.32
  4. Step 4: Simplify right side
    3,668x = 11,474,705.02
  5. Step 5: Solve for x
    x = 11,474,705.02/3,668
  6. Step 6: Final answer
    x = 3,128.33

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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.