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Finding the Fourth Proportional to 1,809, 2,498.31 and 1,342.44

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Solution

The fourth proportional to 1,809, 2,498.31 and 1,342.44 is: 1,853.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,809 : 2,498.31 = 1,342.44 : x
  2. Step 2: Convert to fraction form
    1,809/2,498.31 = 1,342.44/x
  3. Step 3: Cross multiply
    1,809x = 2,498.31 × 1,342.44
  4. Step 4: Simplify right side
    1,809x = 3,353,831.28
  5. Step 5: Solve for x
    x = 3,353,831.28/1,809
  6. Step 6: Final answer
    x = 1,853.97

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.