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Finding the Fourth Proportional to 1,884.62, 2,815.78 and 1,820.03

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Solution

The fourth proportional to 1,884.62, 2,815.78 and 1,820.03 is: 2,719.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,884.62 : 2,815.78 = 1,820.03 : x
  2. Step 2: Convert to fraction form
    1,884.62/2,815.78 = 1,820.03/x
  3. Step 3: Cross multiply
    1,884.62x = 2,815.78 × 1,820.03
  4. Step 4: Simplify right side
    1,884.62x = 5,124,785.44
  5. Step 5: Solve for x
    x = 5,124,785.44/1,884.62
  6. Step 6: Final answer
    x = 2,719.26

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.