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Finding the Fourth Proportional to 13,696.92, 18,882.90 and 9,157.68

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Solution

The fourth proportional to 13,696.92, 18,882.90 and 9,157.68 is: 12,625.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,696.92 : 18,882.90 = 9,157.68 : x
  2. Step 2: Convert to fraction form
    13,696.92/18,882.90 = 9,157.68/x
  3. Step 3: Cross multiply
    13,696.92x = 18,882.90 × 9,157.68
  4. Step 4: Simplify right side
    13,696.92x = 172,923,555.67
  5. Step 5: Solve for x
    x = 172,923,555.67/13,696.92
  6. Step 6: Final answer
    x = 12,625.00

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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.