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Finding the Fourth Proportional to 3,986.84, 5,967.48 and 2,133.32

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Solution

The fourth proportional to 3,986.84, 5,967.48 and 2,133.32 is: 3,193.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,986.84 : 5,967.48 = 2,133.32 : x
  2. Step 2: Convert to fraction form
    3,986.84/5,967.48 = 2,133.32/x
  3. Step 3: Cross multiply
    3,986.84x = 5,967.48 × 2,133.32
  4. Step 4: Simplify right side
    3,986.84x = 12,730,544.43
  5. Step 5: Solve for x
    x = 12,730,544.43/3,986.84
  6. Step 6: Final answer
    x = 3,193.14

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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.