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Finding the Fourth Proportional to 1,806.65, 2,704.69 and 1,633.71

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Solution

The fourth proportional to 1,806.65, 2,704.69 and 1,633.71 is: 2,445.79

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,806.65 : 2,704.69 = 1,633.71 : x
  2. Step 2: Convert to fraction form
    1,806.65/2,704.69 = 1,633.71/x
  3. Step 3: Cross multiply
    1,806.65x = 2,704.69 × 1,633.71
  4. Step 4: Simplify right side
    1,806.65x = 4,418,679.10
  5. Step 5: Solve for x
    x = 4,418,679.10/1,806.65
  6. Step 6: Final answer
    x = 2,445.79

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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.