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Finding the Fourth Proportional to 30,378.96, 41,920.97 and 19,047.97

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Solution

The fourth proportional to 30,378.96, 41,920.97 and 19,047.97 is: 26,284.95

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,378.96 : 41,920.97 = 19,047.97 : x
  2. Step 2: Convert to fraction form
    30,378.96/41,920.97 = 19,047.97/x
  3. Step 3: Cross multiply
    30,378.96x = 41,920.97 × 19,047.97
  4. Step 4: Simplify right side
    30,378.96x = 798,509,378.93
  5. Step 5: Solve for x
    x = 798,509,378.93/30,378.96
  6. Step 6: Final answer
    x = 26,284.95

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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.