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Finding the Fourth Proportional to 30,409.97, 41,963.47 and 19,078.88

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Solution

The fourth proportional to 30,409.97, 41,963.47 and 19,078.88 is: 26,327.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,409.97 : 41,963.47 = 19,078.88 : x
  2. Step 2: Convert to fraction form
    30,409.97/41,963.47 = 19,078.88/x
  3. Step 3: Cross multiply
    30,409.97x = 41,963.47 × 19,078.88
  4. Step 4: Simplify right side
    30,409.97x = 800,615,751.00
  5. Step 5: Solve for x
    x = 800,615,751.00/30,409.97
  6. Step 6: Final answer
    x = 26,327.41

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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.