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Finding the Fourth Proportional to 3,986.63, 5,971.41 and 3,242.71

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Solution

The fourth proportional to 3,986.63, 5,971.41 and 3,242.71 is: 4,857.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.63 : 5,971.41 = 3,242.71 : x
  2. Step 2: Convert to fraction form
    3,986.63/5,971.41 = 3,242.71/x
  3. Step 3: Cross multiply
    3,986.63x = 5,971.41 × 3,242.71
  4. Step 4: Simplify right side
    3,986.63x = 19,363,565.21
  5. Step 5: Solve for x
    x = 19,363,565.21/3,986.63
  6. Step 6: Final answer
    x = 4,857.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.