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Finding the Fourth Proportional to 30,983.92, 46,449.76 and 13,440.54

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Solution

The fourth proportional to 30,983.92, 46,449.76 and 13,440.54 is: 20,149.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,983.92 : 46,449.76 = 13,440.54 : x
  2. Step 2: Convert to fraction form
    30,983.92/46,449.76 = 13,440.54/x
  3. Step 3: Cross multiply
    30,983.92x = 46,449.76 × 13,440.54
  4. Step 4: Simplify right side
    30,983.92x = 624,309,857.27
  5. Step 5: Solve for x
    x = 624,309,857.27/30,983.92
  6. Step 6: Final answer
    x = 20,149.48

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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.