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Finding the Fourth Proportional to 20,682.50, 31,034 and 8,202.25

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Solution

The fourth proportional to 20,682.50, 31,034 and 8,202.25 is: 12,307.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,682.50 : 31,034 = 8,202.25 : x
  2. Step 2: Convert to fraction form
    20,682.50/31,034 = 8,202.25/x
  3. Step 3: Cross multiply
    20,682.50x = 31,034 × 8,202.25
  4. Step 4: Simplify right side
    20,682.50x = 254,548,626.50
  5. Step 5: Solve for x
    x = 254,548,626.50/20,682.50
  6. Step 6: Final answer
    x = 12,307.44

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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.