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Finding the Fourth Proportional to 3,967.97, 5,962.70 and 2,120.40

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Solution

The fourth proportional to 3,967.97, 5,962.70 and 2,120.40 is: 3,186.35

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,967.97 : 5,962.70 = 2,120.40 : x
  2. Step 2: Convert to fraction form
    3,967.97/5,962.70 = 2,120.40/x
  3. Step 3: Cross multiply
    3,967.97x = 5,962.70 × 2,120.40
  4. Step 4: Simplify right side
    3,967.97x = 12,643,314.38
  5. Step 5: Solve for x
    x = 12,643,314.38/3,967.97
  6. Step 6: Final answer
    x = 3,186.35

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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.