Home / 1,975.09-2,960.65-675.67

Finding the Fourth Proportional to 1,975.09, 2,960.65 and 675.67

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Solution

The fourth proportional to 1,975.09, 2,960.65 and 675.67 is: 1,012.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,975.09 : 2,960.65 = 675.67 : x
  2. Step 2: Convert to fraction form
    1,975.09/2,960.65 = 675.67/x
  3. Step 3: Cross multiply
    1,975.09x = 2,960.65 × 675.67
  4. Step 4: Simplify right side
    1,975.09x = 2,000,422.39
  5. Step 5: Solve for x
    x = 2,000,422.39/1,975.09
  6. Step 6: Final answer
    x = 1,012.83

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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.