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Finding the Fourth Proportional to 3,986.99, 5,502.84 and 2,308.77

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Solution

The fourth proportional to 3,986.99, 5,502.84 and 2,308.77 is: 3,186.56

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.99 : 5,502.84 = 2,308.77 : x
  2. Step 2: Convert to fraction form
    3,986.99/5,502.84 = 2,308.77/x
  3. Step 3: Cross multiply
    3,986.99x = 5,502.84 × 2,308.77
  4. Step 4: Simplify right side
    3,986.99x = 12,704,783.25
  5. Step 5: Solve for x
    x = 12,704,783.25/3,986.99
  6. Step 6: Final answer
    x = 3,186.56

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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.