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Finding the Fourth Proportional to 1,822, 2,745.42 and 1,623.09

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Solution

The fourth proportional to 1,822, 2,745.42 and 1,623.09 is: 2,445.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,822 : 2,745.42 = 1,623.09 : x
  2. Step 2: Convert to fraction form
    1,822/2,745.42 = 1,623.09/x
  3. Step 3: Cross multiply
    1,822x = 2,745.42 × 1,623.09
  4. Step 4: Simplify right side
    1,822x = 4,456,041.91
  5. Step 5: Solve for x
    x = 4,456,041.91/1,822
  6. Step 6: Final answer
    x = 2,445.69

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.