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Finding the Fourth Proportional to 31,804.44, 47,700.78 and 12,078.24

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Solution

The fourth proportional to 31,804.44, 47,700.78 and 12,078.24 is: 18,115.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    31,804.44 : 47,700.78 = 12,078.24 : x
  2. Step 2: Convert to fraction form
    31,804.44/47,700.78 = 12,078.24/x
  3. Step 3: Cross multiply
    31,804.44x = 47,700.78 × 12,078.24
  4. Step 4: Simplify right side
    31,804.44x = 576,141,469.03
  5. Step 5: Solve for x
    x = 576,141,469.03/31,804.44
  6. Step 6: Final answer
    x = 18,115.13

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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.