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Finding the Fourth Proportional to 30,819.75, 46,229.64 and 12,351.75

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Solution

The fourth proportional to 30,819.75, 46,229.64 and 12,351.75 is: 18,527.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,819.75 : 46,229.64 = 12,351.75 : x
  2. Step 2: Convert to fraction form
    30,819.75/46,229.64 = 12,351.75/x
  3. Step 3: Cross multiply
    30,819.75x = 46,229.64 × 12,351.75
  4. Step 4: Simplify right side
    30,819.75x = 571,016,955.87
  5. Step 5: Solve for x
    x = 571,016,955.87/30,819.75
  6. Step 6: Final answer
    x = 18,527.63

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.