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Finding the Fourth Proportional to 8,083.86, 12,130.44 and 3,403.50

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Solution

The fourth proportional to 8,083.86, 12,130.44 and 3,403.50 is: 5,107.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,083.86 : 12,130.44 = 3,403.50 : x
  2. Step 2: Convert to fraction form
    8,083.86/12,130.44 = 3,403.50/x
  3. Step 3: Cross multiply
    8,083.86x = 12,130.44 × 3,403.50
  4. Step 4: Simplify right side
    8,083.86x = 41,285,952.54
  5. Step 5: Solve for x
    x = 41,285,952.54/8,083.86
  6. Step 6: Final answer
    x = 5,107.21

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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.