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Finding the Fourth Proportional to 3,956.84, 5,936.64 and 1,765.36

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Solution

The fourth proportional to 3,956.84, 5,936.64 and 1,765.36 is: 2,648.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,956.84 : 5,936.64 = 1,765.36 : x
  2. Step 2: Convert to fraction form
    3,956.84/5,936.64 = 1,765.36/x
  3. Step 3: Cross multiply
    3,956.84x = 5,936.64 × 1,765.36
  4. Step 4: Simplify right side
    3,956.84x = 10,480,306.79
  5. Step 5: Solve for x
    x = 10,480,306.79/3,956.84
  6. Step 6: Final answer
    x = 2,648.66

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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.