Home / 4,177-5,764.32-2,314.12

Finding the Fourth Proportional to 4,177, 5,764.32 and 2,314.12

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Solution

The fourth proportional to 4,177, 5,764.32 and 2,314.12 is: 3,193.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    4,177 : 5,764.32 = 2,314.12 : x
  2. Step 2: Convert to fraction form
    4,177/5,764.32 = 2,314.12/x
  3. Step 3: Cross multiply
    4,177x = 5,764.32 × 2,314.12
  4. Step 4: Simplify right side
    4,177x = 13,339,328.20
  5. Step 5: Solve for x
    x = 13,339,328.20/4,177
  6. Step 6: Final answer
    x = 3,193.52

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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.