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Finding the Fourth Proportional to 7,078.42, 9,767.44 and 4,245.90

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Solution

The fourth proportional to 7,078.42, 9,767.44 and 4,245.90 is: 5,858.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,078.42 : 9,767.44 = 4,245.90 : x
  2. Step 2: Convert to fraction form
    7,078.42/9,767.44 = 4,245.90/x
  3. Step 3: Cross multiply
    7,078.42x = 9,767.44 × 4,245.90
  4. Step 4: Simplify right side
    7,078.42x = 41,471,573.50
  5. Step 5: Solve for x
    x = 41,471,573.50/7,078.42
  6. Step 6: Final answer
    x = 5,858.87

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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.