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Finding the Fourth Proportional to 3,986.71, 5,502.08 and 2,308.08

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Solution

The fourth proportional to 3,986.71, 5,502.08 and 2,308.08 is: 3,185.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.71 : 5,502.08 = 2,308.08 : x
  2. Step 2: Convert to fraction form
    3,986.71/5,502.08 = 2,308.08/x
  3. Step 3: Cross multiply
    3,986.71x = 5,502.08 × 2,308.08
  4. Step 4: Simplify right side
    3,986.71x = 12,699,240.81
  5. Step 5: Solve for x
    x = 12,699,240.81/3,986.71
  6. Step 6: Final answer
    x = 3,185.39

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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.