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Finding the Fourth Proportional to 9,146.86, 13,718.70 and 2,571.49

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Solution

The fourth proportional to 9,146.86, 13,718.70 and 2,571.49 is: 3,856.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,146.86 : 13,718.70 = 2,571.49 : x
  2. Step 2: Convert to fraction form
    9,146.86/13,718.70 = 2,571.49/x
  3. Step 3: Cross multiply
    9,146.86x = 13,718.70 × 2,571.49
  4. Step 4: Simplify right side
    9,146.86x = 35,277,431.27
  5. Step 5: Solve for x
    x = 35,277,431.27/9,146.86
  6. Step 6: Final answer
    x = 3,856.78

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.