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Finding the Fourth Proportional to 20,719, 31,083.54 and 6,868

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Solution

The fourth proportional to 20,719, 31,083.54 and 6,868 is: 10,303.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,719 : 31,083.54 = 6,868 : x
  2. Step 2: Convert to fraction form
    20,719/31,083.54 = 6,868/x
  3. Step 3: Cross multiply
    20,719x = 31,083.54 × 6,868
  4. Step 4: Simplify right side
    20,719x = 213,481,752.72
  5. Step 5: Solve for x
    x = 213,481,752.72/20,719
  6. Step 6: Final answer
    x = 10,303.67

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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.