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Finding the Fourth Proportional to 3,986.93, 5,502.16 and 2,308.04

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Solution

The fourth proportional to 3,986.93, 5,502.16 and 2,308.04 is: 3,185.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.93 : 5,502.16 = 2,308.04 : x
  2. Step 2: Convert to fraction form
    3,986.93/5,502.16 = 2,308.04/x
  3. Step 3: Cross multiply
    3,986.93x = 5,502.16 × 2,308.04
  4. Step 4: Simplify right side
    3,986.93x = 12,699,201.37
  5. Step 5: Solve for x
    x = 12,699,201.37/3,986.93
  6. Step 6: Final answer
    x = 3,185.21

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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.