Home / 6,102.80-9,150.76-1,942.04

Finding the Fourth Proportional to 6,102.80, 9,150.76 and 1,942.04

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Solution

The fourth proportional to 6,102.80, 9,150.76 and 1,942.04 is: 2,911.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,102.80 : 9,150.76 = 1,942.04 : x
  2. Step 2: Convert to fraction form
    6,102.80/9,150.76 = 1,942.04/x
  3. Step 3: Cross multiply
    6,102.80x = 9,150.76 × 1,942.04
  4. Step 4: Simplify right side
    6,102.80x = 17,771,141.95
  5. Step 5: Solve for x
    x = 17,771,141.95/6,102.80
  6. Step 6: Final answer
    x = 2,911.97

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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.