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Finding the Fourth Proportional to 11,239.06, 16,861 and 4,313.50

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Solution

The fourth proportional to 11,239.06, 16,861 and 4,313.50 is: 6,471.17

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,239.06 : 16,861 = 4,313.50 : x
  2. Step 2: Convert to fraction form
    11,239.06/16,861 = 4,313.50/x
  3. Step 3: Cross multiply
    11,239.06x = 16,861 × 4,313.50
  4. Step 4: Simplify right side
    11,239.06x = 72,729,923.50
  5. Step 5: Solve for x
    x = 72,729,923.50/11,239.06
  6. Step 6: Final answer
    x = 6,471.17

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Why These Related Problems?

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