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Finding the Fourth Proportional to 12,706.38, 19,081.44 and 6,867.09

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Solution

The fourth proportional to 12,706.38, 19,081.44 and 6,867.09 is: 10,312.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,706.38 : 19,081.44 = 6,867.09 : x
  2. Step 2: Convert to fraction form
    12,706.38/19,081.44 = 6,867.09/x
  3. Step 3: Cross multiply
    12,706.38x = 19,081.44 × 6,867.09
  4. Step 4: Simplify right side
    12,706.38x = 131,033,965.81
  5. Step 5: Solve for x
    x = 131,033,965.81/12,706.38
  6. Step 6: Final answer
    x = 10,312.45

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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.