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Finding the Fourth Proportional to 30,450.92, 42,040.92 and 20,906.48

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Solution

The fourth proportional to 30,450.92, 42,040.92 and 20,906.48 is: 28,863.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,450.92 : 42,040.92 = 20,906.48 : x
  2. Step 2: Convert to fraction form
    30,450.92/42,040.92 = 20,906.48/x
  3. Step 3: Cross multiply
    30,450.92x = 42,040.92 × 20,906.48
  4. Step 4: Simplify right side
    30,450.92x = 878,927,653.16
  5. Step 5: Solve for x
    x = 878,927,653.16/30,450.92
  6. Step 6: Final answer
    x = 28,863.75

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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.