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Finding the Fourth Proportional to 11,777.81, 16,243.64 and 7,994.75

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Solution

The fourth proportional to 11,777.81, 16,243.64 and 7,994.75 is: 11,026.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.81 : 16,243.64 = 7,994.75 : x
  2. Step 2: Convert to fraction form
    11,777.81/16,243.64 = 7,994.75/x
  3. Step 3: Cross multiply
    11,777.81x = 16,243.64 × 7,994.75
  4. Step 4: Simplify right side
    11,777.81x = 129,863,841.05
  5. Step 5: Solve for x
    x = 129,863,841.05/11,777.81
  6. Step 6: Final answer
    x = 11,026.15

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.