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Finding the Fourth Proportional to 12,186.06, 16,817.07 and 7,472.94

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Solution

The fourth proportional to 12,186.06, 16,817.07 and 7,472.94 is: 10,312.85

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,186.06 : 16,817.07 = 7,472.94 : x
  2. Step 2: Convert to fraction form
    12,186.06/16,817.07 = 7,472.94/x
  3. Step 3: Cross multiply
    12,186.06x = 16,817.07 × 7,472.94
  4. Step 4: Simplify right side
    12,186.06x = 125,672,955.09
  5. Step 5: Solve for x
    x = 125,672,955.09/12,186.06
  6. Step 6: Final answer
    x = 10,312.85

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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.