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Finding the Fourth Proportional to 12,889.29, 19,317.79 and 6,965.97

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Solution

The fourth proportional to 12,889.29, 19,317.79 and 6,965.97 is: 10,440.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,889.29 : 19,317.79 = 6,965.97 : x
  2. Step 2: Convert to fraction form
    12,889.29/19,317.79 = 6,965.97/x
  3. Step 3: Cross multiply
    12,889.29x = 19,317.79 × 6,965.97
  4. Step 4: Simplify right side
    12,889.29x = 134,567,081.87
  5. Step 5: Solve for x
    x = 134,567,081.87/12,889.29
  6. Step 6: Final answer
    x = 10,440.22

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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.