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Finding the Fourth Proportional to 8,409.51, 12,591.18 and 6,845.85

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Solution

The fourth proportional to 8,409.51, 12,591.18 and 6,845.85 is: 10,249.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    8,409.51 : 12,591.18 = 6,845.85 : x
  2. Step 2: Convert to fraction form
    8,409.51/12,591.18 = 6,845.85/x
  3. Step 3: Cross multiply
    8,409.51x = 12,591.18 × 6,845.85
  4. Step 4: Simplify right side
    8,409.51x = 86,197,329.60
  5. Step 5: Solve for x
    x = 86,197,329.60/8,409.51
  6. Step 6: Final answer
    x = 10,249.98

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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.