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Finding the Fourth Proportional to 3,303.64, 4,956.81 and 2,786.86

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Solution

The fourth proportional to 3,303.64, 4,956.81 and 2,786.86 is: 4,181.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,303.64 : 4,956.81 = 2,786.86 : x
  2. Step 2: Convert to fraction form
    3,303.64/4,956.81 = 2,786.86/x
  3. Step 3: Cross multiply
    3,303.64x = 4,956.81 × 2,786.86
  4. Step 4: Simplify right side
    3,303.64x = 13,813,935.52
  5. Step 5: Solve for x
    x = 13,813,935.52/3,303.64
  6. Step 6: Final answer
    x = 4,181.43

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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.