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Finding the Fourth Proportional to 2,013.88, 3,022.12 and 859.64

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Solution

The fourth proportional to 2,013.88, 3,022.12 and 859.64 is: 1,290.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,013.88 : 3,022.12 = 859.64 : x
  2. Step 2: Convert to fraction form
    2,013.88/3,022.12 = 859.64/x
  3. Step 3: Cross multiply
    2,013.88x = 3,022.12 × 859.64
  4. Step 4: Simplify right side
    2,013.88x = 2,597,935.24
  5. Step 5: Solve for x
    x = 2,597,935.24/2,013.88
  6. Step 6: Final answer
    x = 1,290.01

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.