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Finding the Fourth Proportional to 11,765.16, 16,237.62 and 7,049.88

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Solution

The fourth proportional to 11,765.16, 16,237.62 and 7,049.88 is: 9,729.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,765.16 : 16,237.62 = 7,049.88 : x
  2. Step 2: Convert to fraction form
    11,765.16/16,237.62 = 7,049.88/x
  3. Step 3: Cross multiply
    11,765.16x = 16,237.62 × 7,049.88
  4. Step 4: Simplify right side
    11,765.16x = 114,473,272.49
  5. Step 5: Solve for x
    x = 114,473,272.49/11,765.16
  6. Step 6: Final answer
    x = 9,729.85

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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.