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Finding the Fourth Proportional to 1,899.98, 2,836.23 and 1,641.65

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Solution

The fourth proportional to 1,899.98, 2,836.23 and 1,641.65 is: 2,450.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,899.98 : 2,836.23 = 1,641.65 : x
  2. Step 2: Convert to fraction form
    1,899.98/2,836.23 = 1,641.65/x
  3. Step 3: Cross multiply
    1,899.98x = 2,836.23 × 1,641.65
  4. Step 4: Simplify right side
    1,899.98x = 4,656,076.64
  5. Step 5: Solve for x
    x = 4,656,076.64/1,899.98
  6. Step 6: Final answer
    x = 2,450.59

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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.