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Finding the Fourth Proportional to 3,687.80, 5,533.32 and 1,956

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Solution

The fourth proportional to 3,687.80, 5,533.32 and 1,956 is: 2,934.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,687.80 : 5,533.32 = 1,956 : x
  2. Step 2: Convert to fraction form
    3,687.80/5,533.32 = 1,956/x
  3. Step 3: Cross multiply
    3,687.80x = 5,533.32 × 1,956
  4. Step 4: Simplify right side
    3,687.80x = 10,823,173.92
  5. Step 5: Solve for x
    x = 10,823,173.92/3,687.80
  6. Step 6: Final answer
    x = 2,934.86

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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.