Home / 1,967.14-2,948.55-667.63

Finding the Fourth Proportional to 1,967.14, 2,948.55 and 667.63

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Solution

The fourth proportional to 1,967.14, 2,948.55 and 667.63 is: 1,000.71

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,967.14 : 2,948.55 = 667.63 : x
  2. Step 2: Convert to fraction form
    1,967.14/2,948.55 = 667.63/x
  3. Step 3: Cross multiply
    1,967.14x = 2,948.55 × 667.63
  4. Step 4: Simplify right side
    1,967.14x = 1,968,540.44
  5. Step 5: Solve for x
    x = 1,968,540.44/1,967.14
  6. Step 6: Final answer
    x = 1,000.71

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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.