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Finding the Fourth Proportional to 7,851.92, 11,777.92 and 1,928.84

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Solution

The fourth proportional to 7,851.92, 11,777.92 and 1,928.84 is: 2,893.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,851.92 : 11,777.92 = 1,928.84 : x
  2. Step 2: Convert to fraction form
    7,851.92/11,777.92 = 1,928.84/x
  3. Step 3: Cross multiply
    7,851.92x = 11,777.92 × 1,928.84
  4. Step 4: Simplify right side
    7,851.92x = 22,717,723.21
  5. Step 5: Solve for x
    x = 22,717,723.21/7,851.92
  6. Step 6: Final answer
    x = 2,893.27

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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.