Home / 1,986.82-2,975.76-1,948.70

Finding the Fourth Proportional to 1,986.82, 2,975.76 and 1,948.70

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Solution

The fourth proportional to 1,986.82, 2,975.76 and 1,948.70 is: 2,918.67

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,986.82 : 2,975.76 = 1,948.70 : x
  2. Step 2: Convert to fraction form
    1,986.82/2,975.76 = 1,948.70/x
  3. Step 3: Cross multiply
    1,986.82x = 2,975.76 × 1,948.70
  4. Step 4: Simplify right side
    1,986.82x = 5,798,870.95
  5. Step 5: Solve for x
    x = 5,798,870.95/1,986.82
  6. Step 6: Final answer
    x = 2,918.67

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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.