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Finding the Fourth Proportional to 20,541.60, 30,790.80 and 8,056.80

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Solution

The fourth proportional to 20,541.60, 30,790.80 and 8,056.80 is: 12,076.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,541.60 : 30,790.80 = 8,056.80 : x
  2. Step 2: Convert to fraction form
    20,541.60/30,790.80 = 8,056.80/x
  3. Step 3: Cross multiply
    20,541.60x = 30,790.80 × 8,056.80
  4. Step 4: Simplify right side
    20,541.60x = 248,075,317.44
  5. Step 5: Solve for x
    x = 248,075,317.44/20,541.60
  6. Step 6: Final answer
    x = 12,076.73

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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.