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Finding the Fourth Proportional to 2,950.78, 4,071.36 and 1,942.38

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Solution

The fourth proportional to 2,950.78, 4,071.36 and 1,942.38 is: 2,680.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,950.78 : 4,071.36 = 1,942.38 : x
  2. Step 2: Convert to fraction form
    2,950.78/4,071.36 = 1,942.38/x
  3. Step 3: Cross multiply
    2,950.78x = 4,071.36 × 1,942.38
  4. Step 4: Simplify right side
    2,950.78x = 7,908,135.52
  5. Step 5: Solve for x
    x = 7,908,135.52/2,950.78
  6. Step 6: Final answer
    x = 2,680.02

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.