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Finding the Fourth Proportional to 20,537.75, 30,784.03 and 8,055.45

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Solution

The fourth proportional to 20,537.75, 30,784.03 and 8,055.45 is: 12,074.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,537.75 : 30,784.03 = 8,055.45 : x
  2. Step 2: Convert to fraction form
    20,537.75/30,784.03 = 8,055.45/x
  3. Step 3: Cross multiply
    20,537.75x = 30,784.03 × 8,055.45
  4. Step 4: Simplify right side
    20,537.75x = 247,979,239.64
  5. Step 5: Solve for x
    x = 247,979,239.64/20,537.75
  6. Step 6: Final answer
    x = 12,074.31

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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.