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Finding the Fourth Proportional to 33,643, 46,427.34 and 18,739

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Solution

The fourth proportional to 33,643, 46,427.34 and 18,739 is: 25,859.82

Step by Step Solution

  1. Step 1: Write the proportion equation
    33,643 : 46,427.34 = 18,739 : x
  2. Step 2: Convert to fraction form
    33,643/46,427.34 = 18,739/x
  3. Step 3: Cross multiply
    33,643x = 46,427.34 × 18,739
  4. Step 4: Simplify right side
    33,643x = 870,001,924.26
  5. Step 5: Solve for x
    x = 870,001,924.26/33,643
  6. Step 6: Final answer
    x = 25,859.82

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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.