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Finding the Fourth Proportional to 30,950.92, 46,409.82 and 12,230.20

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Solution

The fourth proportional to 30,950.92, 46,409.82 and 12,230.20 is: 18,338.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,950.92 : 46,409.82 = 12,230.20 : x
  2. Step 2: Convert to fraction form
    30,950.92/46,409.82 = 12,230.20/x
  3. Step 3: Cross multiply
    30,950.92x = 46,409.82 × 12,230.20
  4. Step 4: Simplify right side
    30,950.92x = 567,601,380.56
  5. Step 5: Solve for x
    x = 567,601,380.56/30,950.92
  6. Step 6: Final answer
    x = 18,338.76

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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.