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Finding the Fourth Proportional to 7,853.92, 11,780.92 and 1,930.84

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Solution

The fourth proportional to 7,853.92, 11,780.92 and 1,930.84 is: 2,896.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,853.92 : 11,780.92 = 1,930.84 : x
  2. Step 2: Convert to fraction form
    7,853.92/11,780.92 = 1,930.84/x
  3. Step 3: Cross multiply
    7,853.92x = 11,780.92 × 1,930.84
  4. Step 4: Simplify right side
    7,853.92x = 22,747,071.57
  5. Step 5: Solve for x
    x = 22,747,071.57/7,853.92
  6. Step 6: Final answer
    x = 2,896.27

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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.