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Finding the Fourth Proportional to 7,094.16, 9,789.16 and 3,950

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Solution

The fourth proportional to 7,094.16, 9,789.16 and 3,950 is: 5,450.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,094.16 : 9,789.16 = 3,950 : x
  2. Step 2: Convert to fraction form
    7,094.16/9,789.16 = 3,950/x
  3. Step 3: Cross multiply
    7,094.16x = 9,789.16 × 3,950
  4. Step 4: Simplify right side
    7,094.16x = 38,667,182
  5. Step 5: Solve for x
    x = 38,667,182/7,094.16
  6. Step 6: Final answer
    x = 5,450.57

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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.