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Finding the Fourth Proportional to 6,720.99, 10,078 and 3,020.05

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Solution

The fourth proportional to 6,720.99, 10,078 and 3,020.05 is: 4,528.51

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,720.99 : 10,078 = 3,020.05 : x
  2. Step 2: Convert to fraction form
    6,720.99/10,078 = 3,020.05/x
  3. Step 3: Cross multiply
    6,720.99x = 10,078 × 3,020.05
  4. Step 4: Simplify right side
    6,720.99x = 30,436,063.90
  5. Step 5: Solve for x
    x = 30,436,063.90/6,720.99
  6. Step 6: Final answer
    x = 4,528.51

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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.