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Finding the Fourth Proportional to 7,855.86, 11,783.47 and 2,661.73

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Solution

The fourth proportional to 7,855.86, 11,783.47 and 2,661.73 is: 3,992.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,855.86 : 11,783.47 = 2,661.73 : x
  2. Step 2: Convert to fraction form
    7,855.86/11,783.47 = 2,661.73/x
  3. Step 3: Cross multiply
    7,855.86x = 11,783.47 × 2,661.73
  4. Step 4: Simplify right side
    7,855.86x = 31,364,415.60
  5. Step 5: Solve for x
    x = 31,364,415.60/7,855.86
  6. Step 6: Final answer
    x = 3,992.49

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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.