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Finding the Fourth Proportional to 3,969.84, 5,956.80 and 1,892.20

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Solution

The fourth proportional to 3,969.84, 5,956.80 and 1,892.20 is: 2,839.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,969.84 : 5,956.80 = 1,892.20 : x
  2. Step 2: Convert to fraction form
    3,969.84/5,956.80 = 1,892.20/x
  3. Step 3: Cross multiply
    3,969.84x = 5,956.80 × 1,892.20
  4. Step 4: Simplify right side
    3,969.84x = 11,271,456.96
  5. Step 5: Solve for x
    x = 11,271,456.96/3,969.84
  6. Step 6: Final answer
    x = 2,839.27

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1.5x scale

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.