Home / 4,201.78-5,798.14-2,409.24

Finding the Fourth Proportional to 4,201.78, 5,798.14 and 2,409.24

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Solution

The fourth proportional to 4,201.78, 5,798.14 and 2,409.24 is: 3,324.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,201.78 : 5,798.14 = 2,409.24 : x
  2. Step 2: Convert to fraction form
    4,201.78/5,798.14 = 2,409.24/x
  3. Step 3: Cross multiply
    4,201.78x = 5,798.14 × 2,409.24
  4. Step 4: Simplify right side
    4,201.78x = 13,969,110.81
  5. Step 5: Solve for x
    x = 13,969,110.81/4,201.78
  6. Step 6: Final answer
    x = 3,324.57

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.