Home / 3,134.14-4,701.48-825.64

Finding the Fourth Proportional to 3,134.14, 4,701.48 and 825.64

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Solution

The fourth proportional to 3,134.14, 4,701.48 and 825.64 is: 1,238.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,134.14 : 4,701.48 = 825.64 : x
  2. Step 2: Convert to fraction form
    3,134.14/4,701.48 = 825.64/x
  3. Step 3: Cross multiply
    3,134.14x = 4,701.48 × 825.64
  4. Step 4: Simplify right side
    3,134.14x = 3,881,729.95
  5. Step 5: Solve for x
    x = 3,881,729.95/3,134.14
  6. Step 6: Final answer
    x = 1,238.53

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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.