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Finding the Fourth Proportional to 31,171.80, 46,778.16 and 11,450.52

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Solution

The fourth proportional to 31,171.80, 46,778.16 and 11,450.52 is: 17,183.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,171.80 : 46,778.16 = 11,450.52 : x
  2. Step 2: Convert to fraction form
    31,171.80/46,778.16 = 11,450.52/x
  3. Step 3: Cross multiply
    31,171.80x = 46,778.16 × 11,450.52
  4. Step 4: Simplify right side
    31,171.80x = 535,634,256.64
  5. Step 5: Solve for x
    x = 535,634,256.64/31,171.80
  6. Step 6: Final answer
    x = 17,183.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.