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Finding the Fourth Proportional to 2,182.81, 3,271.84 and 1,072.99

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Solution

The fourth proportional to 2,182.81, 3,271.84 and 1,072.99 is: 1,608.32

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,182.81 : 3,271.84 = 1,072.99 : x
  2. Step 2: Convert to fraction form
    2,182.81/3,271.84 = 1,072.99/x
  3. Step 3: Cross multiply
    2,182.81x = 3,271.84 × 1,072.99
  4. Step 4: Simplify right side
    2,182.81x = 3,510,646.24
  5. Step 5: Solve for x
    x = 3,510,646.24/2,182.81
  6. Step 6: Final answer
    x = 1,608.32

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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.