Home / 2,418.24-3,627.84-957.12

Finding the Fourth Proportional to 2,418.24, 3,627.84 and 957.12

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Solution

The fourth proportional to 2,418.24, 3,627.84 and 957.12 is: 1,435.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,418.24 : 3,627.84 = 957.12 : x
  2. Step 2: Convert to fraction form
    2,418.24/3,627.84 = 957.12/x
  3. Step 3: Cross multiply
    2,418.24x = 3,627.84 × 957.12
  4. Step 4: Simplify right side
    2,418.24x = 3,472,278.22
  5. Step 5: Solve for x
    x = 3,472,278.22/2,418.24
  6. Step 6: Final answer
    x = 1,435.87

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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.