Home / 1,942.40-2,911.36-967.04

Finding the Fourth Proportional to 1,942.40, 2,911.36 and 967.04

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Solution

The fourth proportional to 1,942.40, 2,911.36 and 967.04 is: 1,449.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    1,942.40 : 2,911.36 = 967.04 : x
  2. Step 2: Convert to fraction form
    1,942.40/2,911.36 = 967.04/x
  3. Step 3: Cross multiply
    1,942.40x = 2,911.36 × 967.04
  4. Step 4: Simplify right side
    1,942.40x = 2,815,401.57
  5. Step 5: Solve for x
    x = 2,815,401.57/1,942.40
  6. Step 6: Final answer
    x = 1,449.44

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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.