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Finding the Fourth Proportional to 12,013.70, 16,571.13 and 7,231.46

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Solution

The fourth proportional to 12,013.70, 16,571.13 and 7,231.46 is: 9,974.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,013.70 : 16,571.13 = 7,231.46 : x
  2. Step 2: Convert to fraction form
    12,013.70/16,571.13 = 7,231.46/x
  3. Step 3: Cross multiply
    12,013.70x = 16,571.13 × 7,231.46
  4. Step 4: Simplify right side
    12,013.70x = 119,833,463.75
  5. Step 5: Solve for x
    x = 119,833,463.75/12,013.70
  6. Step 6: Final answer
    x = 9,974.73

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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.