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Finding the Fourth Proportional to 4,546.87, 6,813 and 3,817.87

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Solution

The fourth proportional to 4,546.87, 6,813 and 3,817.87 is: 5,720.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,546.87 : 6,813 = 3,817.87 : x
  2. Step 2: Convert to fraction form
    4,546.87/6,813 = 3,817.87/x
  3. Step 3: Cross multiply
    4,546.87x = 6,813 × 3,817.87
  4. Step 4: Simplify right side
    4,546.87x = 26,011,131.28
  5. Step 5: Solve for x
    x = 26,011,131.28/4,546.87
  6. Step 6: Final answer
    x = 5,720.67

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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.