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Finding the Fourth Proportional to 9,456.94, 14,171.41 and 8,418.88

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Solution

The fourth proportional to 9,456.94, 14,171.41 and 8,418.88 is: 12,615.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,456.94 : 14,171.41 = 8,418.88 : x
  2. Step 2: Convert to fraction form
    9,456.94/14,171.41 = 8,418.88/x
  3. Step 3: Cross multiply
    9,456.94x = 14,171.41 × 8,418.88
  4. Step 4: Simplify right side
    9,456.94x = 119,307,400.22
  5. Step 5: Solve for x
    x = 119,307,400.22/9,456.94
  6. Step 6: Final answer
    x = 12,615.86

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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.