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Finding the Fourth Proportional to 12,959.96, 19,443.02 and 4,194.87

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Solution

The fourth proportional to 12,959.96, 19,443.02 and 4,194.87 is: 6,293.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,959.96 : 19,443.02 = 4,194.87 : x
  2. Step 2: Convert to fraction form
    12,959.96/19,443.02 = 4,194.87/x
  3. Step 3: Cross multiply
    12,959.96x = 19,443.02 × 4,194.87
  4. Step 4: Simplify right side
    12,959.96x = 81,560,951.79
  5. Step 5: Solve for x
    x = 81,560,951.79/12,959.96
  6. Step 6: Final answer
    x = 6,293.30

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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.