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Finding the Fourth Proportional to 3,899.87, 5,853.28 and 1,821.03

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Solution

The fourth proportional to 3,899.87, 5,853.28 and 1,821.03 is: 2,733.16

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,899.87 : 5,853.28 = 1,821.03 : x
  2. Step 2: Convert to fraction form
    3,899.87/5,853.28 = 1,821.03/x
  3. Step 3: Cross multiply
    3,899.87x = 5,853.28 × 1,821.03
  4. Step 4: Simplify right side
    3,899.87x = 10,658,975.12
  5. Step 5: Solve for x
    x = 10,658,975.12/3,899.87
  6. Step 6: Final answer
    x = 2,733.16

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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.