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Finding the Fourth Proportional to 12,163.94, 16,785.72 and 6,859.25

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Solution

The fourth proportional to 12,163.94, 16,785.72 and 6,859.25 is: 9,465.47

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,163.94 : 16,785.72 = 6,859.25 : x
  2. Step 2: Convert to fraction form
    12,163.94/16,785.72 = 6,859.25/x
  3. Step 3: Cross multiply
    12,163.94x = 16,785.72 × 6,859.25
  4. Step 4: Simplify right side
    12,163.94x = 115,137,365.98
  5. Step 5: Solve for x
    x = 115,137,365.98/12,163.94
  6. Step 6: Final answer
    x = 9,465.47

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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.