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Finding the Fourth Proportional to 1,891.62, 2,599.92 and 1,669.23

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Solution

The fourth proportional to 1,891.62, 2,599.92 and 1,669.23 is: 2,294.26

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,891.62 : 2,599.92 = 1,669.23 : x
  2. Step 2: Convert to fraction form
    1,891.62/2,599.92 = 1,669.23/x
  3. Step 3: Cross multiply
    1,891.62x = 2,599.92 × 1,669.23
  4. Step 4: Simplify right side
    1,891.62x = 4,339,864.46
  5. Step 5: Solve for x
    x = 4,339,864.46/1,891.62
  6. Step 6: Final answer
    x = 2,294.26

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.