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Finding the Fourth Proportional to 12,661.91, 17,485.08 and 8,193.37

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Solution

The fourth proportional to 12,661.91, 17,485.08 and 8,193.37 is: 11,314.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,661.91 : 17,485.08 = 8,193.37 : x
  2. Step 2: Convert to fraction form
    12,661.91/17,485.08 = 8,193.37/x
  3. Step 3: Cross multiply
    12,661.91x = 17,485.08 × 8,193.37
  4. Step 4: Simplify right side
    12,661.91x = 143,261,729.92
  5. Step 5: Solve for x
    x = 143,261,729.92/12,661.91
  6. Step 6: Final answer
    x = 11,314.39

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1.5x scale

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.