Home / 7,142.20-10,709.46-2,209.72

Finding the Fourth Proportional to 7,142.20, 10,709.46 and 2,209.72

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Solution

The fourth proportional to 7,142.20, 10,709.46 and 2,209.72 is: 3,313.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,142.20 : 10,709.46 = 2,209.72 : x
  2. Step 2: Convert to fraction form
    7,142.20/10,709.46 = 2,209.72/x
  3. Step 3: Cross multiply
    7,142.20x = 10,709.46 × 2,209.72
  4. Step 4: Simplify right side
    7,142.20x = 23,664,907.95
  5. Step 5: Solve for x
    x = 23,664,907.95/7,142.20
  6. Step 6: Final answer
    x = 3,313.39

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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.