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Finding the Fourth Proportional to 30,615, 45,922.32 and 9,838.56

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Solution

The fourth proportional to 30,615, 45,922.32 and 9,838.56 is: 14,757.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,615 : 45,922.32 = 9,838.56 : x
  2. Step 2: Convert to fraction form
    30,615/45,922.32 = 9,838.56/x
  3. Step 3: Cross multiply
    30,615x = 45,922.32 × 9,838.56
  4. Step 4: Simplify right side
    30,615x = 451,809,500.66
  5. Step 5: Solve for x
    x = 451,809,500.66/30,615
  6. Step 6: Final answer
    x = 14,757.78

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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.