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Finding the Fourth Proportional to 8,201.90, 12,238.85 and 7,318.33

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Solution

The fourth proportional to 8,201.90, 12,238.85 and 7,318.33 is: 10,920.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,201.90 : 12,238.85 = 7,318.33 : x
  2. Step 2: Convert to fraction form
    8,201.90/12,238.85 = 7,318.33/x
  3. Step 3: Cross multiply
    8,201.90x = 12,238.85 × 7,318.33
  4. Step 4: Simplify right side
    8,201.90x = 89,567,943.12
  5. Step 5: Solve for x
    x = 89,567,943.12/8,201.90
  6. Step 6: Final answer
    x = 10,920.39

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.