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Finding the Fourth Proportional to 11,777.97, 16,253.26 and 6,472.78

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Solution

The fourth proportional to 11,777.97, 16,253.26 and 6,472.78 is: 8,932.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,777.97 : 16,253.26 = 6,472.78 : x
  2. Step 2: Convert to fraction form
    11,777.97/16,253.26 = 6,472.78/x
  3. Step 3: Cross multiply
    11,777.97x = 16,253.26 × 6,472.78
  4. Step 4: Simplify right side
    11,777.97x = 105,203,776.26
  5. Step 5: Solve for x
    x = 105,203,776.26/11,777.97
  6. Step 6: Final answer
    x = 8,932.25

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