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Finding the Fourth Proportional to 12,165, 16,786.27 and 6,859.50

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Solution

The fourth proportional to 12,165, 16,786.27 and 6,859.50 is: 9,465.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,165 : 16,786.27 = 6,859.50 : x
  2. Step 2: Convert to fraction form
    12,165/16,786.27 = 6,859.50/x
  3. Step 3: Cross multiply
    12,165x = 16,786.27 × 6,859.50
  4. Step 4: Simplify right side
    12,165x = 115,145,419.07
  5. Step 5: Solve for x
    x = 115,145,419.07/12,165
  6. Step 6: Final answer
    x = 9,465.30

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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.