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Finding the Fourth Proportional to 3,447.65, 4,758.83 and 1,956.56

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Solution

The fourth proportional to 3,447.65, 4,758.83 and 1,956.56 is: 2,700.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,447.65 : 4,758.83 = 1,956.56 : x
  2. Step 2: Convert to fraction form
    3,447.65/4,758.83 = 1,956.56/x
  3. Step 3: Cross multiply
    3,447.65x = 4,758.83 × 1,956.56
  4. Step 4: Simplify right side
    3,447.65x = 9,310,902.85
  5. Step 5: Solve for x
    x = 9,310,902.85/3,447.65
  6. Step 6: Final answer
    x = 2,700.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.