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Finding the Fourth Proportional to 7,835.88, 11,753.88 and 1,992.48

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Solution

The fourth proportional to 7,835.88, 11,753.88 and 1,992.48 is: 2,988.74

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,835.88 : 11,753.88 = 1,992.48 : x
  2. Step 2: Convert to fraction form
    7,835.88/11,753.88 = 1,992.48/x
  3. Step 3: Cross multiply
    7,835.88x = 11,753.88 × 1,992.48
  4. Step 4: Simplify right side
    7,835.88x = 23,419,370.82
  5. Step 5: Solve for x
    x = 23,419,370.82/7,835.88
  6. Step 6: Final answer
    x = 2,988.74

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Similar ratio
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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.