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Finding the Fourth Proportional to 7,953.82, 11,930.74 and 2,109.98

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Solution

The fourth proportional to 7,953.82, 11,930.74 and 2,109.98 is: 3,164.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,953.82 : 11,930.74 = 2,109.98 : x
  2. Step 2: Convert to fraction form
    7,953.82/11,930.74 = 2,109.98/x
  3. Step 3: Cross multiply
    7,953.82x = 11,930.74 × 2,109.98
  4. Step 4: Simplify right side
    7,953.82x = 25,173,622.79
  5. Step 5: Solve for x
    x = 25,173,622.79/7,953.82
  6. Step 6: Final answer
    x = 3,164.97

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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.