Home / 6,097.92-9,144.72-2,400

Finding the Fourth Proportional to 6,097.92, 9,144.72 and 2,400

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Solution

The fourth proportional to 6,097.92, 9,144.72 and 2,400 is: 3,599.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,097.92 : 9,144.72 = 2,400 : x
  2. Step 2: Convert to fraction form
    6,097.92/9,144.72 = 2,400/x
  3. Step 3: Cross multiply
    6,097.92x = 9,144.72 × 2,400
  4. Step 4: Simplify right side
    6,097.92x = 21,947,328
  5. Step 5: Solve for x
    x = 21,947,328/6,097.92
  6. Step 6: Final answer
    x = 3,599.15

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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.