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Finding the Fourth Proportional to 30,375, 41,918.72 and 16,947.43

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Solution

The fourth proportional to 30,375, 41,918.72 and 16,947.43 is: 23,388.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,375 : 41,918.72 = 16,947.43 : x
  2. Step 2: Convert to fraction form
    30,375/41,918.72 = 16,947.43/x
  3. Step 3: Cross multiply
    30,375x = 41,918.72 × 16,947.43
  4. Step 4: Simplify right side
    30,375x = 710,414,383.36
  5. Step 5: Solve for x
    x = 710,414,383.36/30,375
  6. Step 6: Final answer
    x = 23,388.13

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1.5x scale

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.