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Finding the Fourth Proportional to 12,843.70, 19,278.63 and 6,920.33

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Solution

The fourth proportional to 12,843.70, 19,278.63 and 6,920.33 is: 10,387.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,843.70 : 19,278.63 = 6,920.33 : x
  2. Step 2: Convert to fraction form
    12,843.70/19,278.63 = 6,920.33/x
  3. Step 3: Cross multiply
    12,843.70x = 19,278.63 × 6,920.33
  4. Step 4: Simplify right side
    12,843.70x = 133,414,385.15
  5. Step 5: Solve for x
    x = 133,414,385.15/12,843.70
  6. Step 6: Final answer
    x = 10,387.54

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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.