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Finding the Fourth Proportional to 3,448.68, 4,758.87 and 1,956.66

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Solution

The fourth proportional to 3,448.68, 4,758.87 and 1,956.66 is: 2,700.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,448.68 : 4,758.87 = 1,956.66 : x
  2. Step 2: Convert to fraction form
    3,448.68/4,758.87 = 1,956.66/x
  3. Step 3: Cross multiply
    3,448.68x = 4,758.87 × 1,956.66
  4. Step 4: Simplify right side
    3,448.68x = 9,311,490.57
  5. Step 5: Solve for x
    x = 9,311,490.57/3,448.68
  6. Step 6: Final answer
    x = 2,700.02

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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.