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Finding the Fourth Proportional to 12,706.15, 19,051.50 and 5,684.85

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Solution

The fourth proportional to 12,706.15, 19,051.50 and 5,684.85 is: 8,523.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.15 : 19,051.50 = 5,684.85 : x
  2. Step 2: Convert to fraction form
    12,706.15/19,051.50 = 5,684.85/x
  3. Step 3: Cross multiply
    12,706.15x = 19,051.50 × 5,684.85
  4. Step 4: Simplify right side
    12,706.15x = 108,305,012.54
  5. Step 5: Solve for x
    x = 108,305,012.54/12,706.15
  6. Step 6: Final answer
    x = 8,523.83

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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.