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Finding the Fourth Proportional to 30,704.40, 46,029.60 and 20,811.60

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Solution

The fourth proportional to 30,704.40, 46,029.60 and 20,811.60 is: 31,199.10

Step by Step Solution

  1. Step 1: Write the proportion equation
    30,704.40 : 46,029.60 = 20,811.60 : x
  2. Step 2: Convert to fraction form
    30,704.40/46,029.60 = 20,811.60/x
  3. Step 3: Cross multiply
    30,704.40x = 46,029.60 × 20,811.60
  4. Step 4: Simplify right side
    30,704.40x = 957,949,623.36
  5. Step 5: Solve for x
    x = 957,949,623.36/30,704.40
  6. Step 6: Final answer
    x = 31,199.10

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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.