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Finding the Fourth Proportional to 31,934.94, 47,902.41 and 12,219.54

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Solution

The fourth proportional to 31,934.94, 47,902.41 and 12,219.54 is: 18,329.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,934.94 : 47,902.41 = 12,219.54 : x
  2. Step 2: Convert to fraction form
    31,934.94/47,902.41 = 12,219.54/x
  3. Step 3: Cross multiply
    31,934.94x = 47,902.41 × 12,219.54
  4. Step 4: Simplify right side
    31,934.94x = 585,345,415.09
  5. Step 5: Solve for x
    x = 585,345,415.09/31,934.94
  6. Step 6: Final answer
    x = 18,329.31

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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.