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Finding the Fourth Proportional to 2,803.55, 3,868.36 and 1,919.03

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Solution

The fourth proportional to 2,803.55, 3,868.36 and 1,919.03 is: 2,647.89

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,803.55 : 3,868.36 = 1,919.03 : x
  2. Step 2: Convert to fraction form
    2,803.55/3,868.36 = 1,919.03/x
  3. Step 3: Cross multiply
    2,803.55x = 3,868.36 × 1,919.03
  4. Step 4: Simplify right side
    2,803.55x = 7,423,474.75
  5. Step 5: Solve for x
    x = 7,423,474.75/2,803.55
  6. Step 6: Final answer
    x = 2,647.89

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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.