Home / 2,962-4,087.56-1,783.12

Finding the Fourth Proportional to 2,962, 4,087.56 and 1,783.12

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Solution

The fourth proportional to 2,962, 4,087.56 and 1,783.12 is: 2,460.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,962 : 4,087.56 = 1,783.12 : x
  2. Step 2: Convert to fraction form
    2,962/4,087.56 = 1,783.12/x
  3. Step 3: Cross multiply
    2,962x = 4,087.56 × 1,783.12
  4. Step 4: Simplify right side
    2,962x = 7,288,609.99
  5. Step 5: Solve for x
    x = 7,288,609.99/2,962
  6. Step 6: Final answer
    x = 2,460.71

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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.