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Finding the Fourth Proportional to 20,503, 30,751.38 and 5,710.36

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Solution

The fourth proportional to 20,503, 30,751.38 and 5,710.36 is: 8,564.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,503 : 30,751.38 = 5,710.36 : x
  2. Step 2: Convert to fraction form
    20,503/30,751.38 = 5,710.36/x
  3. Step 3: Cross multiply
    20,503x = 30,751.38 × 5,710.36
  4. Step 4: Simplify right side
    20,503x = 175,601,450.30
  5. Step 5: Solve for x
    x = 175,601,450.30/20,503
  6. Step 6: Final answer
    x = 8,564.67

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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.