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Finding the Fourth Proportional to 11,777.97, 17,657.23 and 8,657.85

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Solution

The fourth proportional to 11,777.97, 17,657.23 and 8,657.85 is: 12,979.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.97 : 17,657.23 = 8,657.85 : x
  2. Step 2: Convert to fraction form
    11,777.97/17,657.23 = 8,657.85/x
  3. Step 3: Cross multiply
    11,777.97x = 17,657.23 × 8,657.85
  4. Step 4: Simplify right side
    11,777.97x = 152,873,648.76
  5. Step 5: Solve for x
    x = 152,873,648.76/11,777.97
  6. Step 6: Final answer
    x = 12,979.63

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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.