Home / 5,119.34-7,678.19-1,998

Finding the Fourth Proportional to 5,119.34, 7,678.19 and 1,998

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Solution

The fourth proportional to 5,119.34, 7,678.19 and 1,998 is: 2,996.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,119.34 : 7,678.19 = 1,998 : x
  2. Step 2: Convert to fraction form
    5,119.34/7,678.19 = 1,998/x
  3. Step 3: Cross multiply
    5,119.34x = 7,678.19 × 1,998
  4. Step 4: Simplify right side
    5,119.34x = 15,341,028.62
  5. Step 5: Solve for x
    x = 15,341,028.62/5,119.34
  6. Step 6: Final answer
    x = 2,996.68

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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.