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Finding the Fourth Proportional to 2,199.96, 3,303 and 1,375.83

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Solution

The fourth proportional to 2,199.96, 3,303 and 1,375.83 is: 2,065.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,199.96 : 3,303 = 1,375.83 : x
  2. Step 2: Convert to fraction form
    2,199.96/3,303 = 1,375.83/x
  3. Step 3: Cross multiply
    2,199.96x = 3,303 × 1,375.83
  4. Step 4: Simplify right side
    2,199.96x = 4,544,366.49
  5. Step 5: Solve for x
    x = 4,544,366.49/2,199.96
  6. Step 6: Final answer
    x = 2,065.66

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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.