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Finding the Fourth Proportional to 12,859.77, 19,289.43 and 6,939.39

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Solution

The fourth proportional to 12,859.77, 19,289.43 and 6,939.39 is: 10,408.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,859.77 : 19,289.43 = 6,939.39 : x
  2. Step 2: Convert to fraction form
    12,859.77/19,289.43 = 6,939.39/x
  3. Step 3: Cross multiply
    12,859.77x = 19,289.43 × 6,939.39
  4. Step 4: Simplify right side
    12,859.77x = 133,856,877.65
  5. Step 5: Solve for x
    x = 133,856,877.65/12,859.77
  6. Step 6: Final answer
    x = 10,408.96

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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.