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Finding the Fourth Proportional to 6,201.40, 9,290.22 and 5,992.96

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Solution

The fourth proportional to 6,201.40, 9,290.22 and 5,992.96 is: 8,977.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,201.40 : 9,290.22 = 5,992.96 : x
  2. Step 2: Convert to fraction form
    6,201.40/9,290.22 = 5,992.96/x
  3. Step 3: Cross multiply
    6,201.40x = 9,290.22 × 5,992.96
  4. Step 4: Simplify right side
    6,201.40x = 55,675,916.85
  5. Step 5: Solve for x
    x = 55,675,916.85/6,201.40
  6. Step 6: Final answer
    x = 8,977.96

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1.5x scale

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.