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Finding the Fourth Proportional to 31,894.92, 47,845.64 and 12,190.06

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Solution

The fourth proportional to 31,894.92, 47,845.64 and 12,190.06 is: 18,286.34

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,894.92 : 47,845.64 = 12,190.06 : x
  2. Step 2: Convert to fraction form
    31,894.92/47,845.64 = 12,190.06/x
  3. Step 3: Cross multiply
    31,894.92x = 47,845.64 × 12,190.06
  4. Step 4: Simplify right side
    31,894.92x = 583,241,222.34
  5. Step 5: Solve for x
    x = 583,241,222.34/31,894.92
  6. Step 6: Final answer
    x = 18,286.34

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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.