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Finding the Fourth Proportional to 9,505, 14,187.92 and 8,382.80

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Solution

The fourth proportional to 9,505, 14,187.92 and 8,382.80 is: 12,512.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,505 : 14,187.92 = 8,382.80 : x
  2. Step 2: Convert to fraction form
    9,505/14,187.92 = 8,382.80/x
  3. Step 3: Cross multiply
    9,505x = 14,187.92 × 8,382.80
  4. Step 4: Simplify right side
    9,505x = 118,934,495.78
  5. Step 5: Solve for x
    x = 118,934,495.78/9,505
  6. Step 6: Final answer
    x = 12,512.83

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Why These Related Problems?

These problems maintain the same ratio (1.49) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.