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Finding the Fourth Proportional to 12,170.16, 16,794.72 and 6,865.92

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Solution

The fourth proportional to 12,170.16, 16,794.72 and 6,865.92 is: 9,474.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,170.16 : 16,794.72 = 6,865.92 : x
  2. Step 2: Convert to fraction form
    12,170.16/16,794.72 = 6,865.92/x
  3. Step 3: Cross multiply
    12,170.16x = 16,794.72 × 6,865.92
  4. Step 4: Simplify right side
    12,170.16x = 115,311,203.94
  5. Step 5: Solve for x
    x = 115,311,203.94/12,170.16
  6. Step 6: Final answer
    x = 9,474.91

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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.