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Finding the Fourth Proportional to 31,173.05, 46,786.11 and 12,466.20

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Solution

The fourth proportional to 31,173.05, 46,786.11 and 12,466.20 is: 18,709.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,173.05 : 46,786.11 = 12,466.20 : x
  2. Step 2: Convert to fraction form
    31,173.05/46,786.11 = 12,466.20/x
  3. Step 3: Cross multiply
    31,173.05x = 46,786.11 × 12,466.20
  4. Step 4: Simplify right side
    31,173.05x = 583,245,133.18
  5. Step 5: Solve for x
    x = 583,245,133.18/31,173.05
  6. Step 6: Final answer
    x = 18,709.91

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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.