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Finding the Fourth Proportional to 13,654.26, 18,842.67 and 7,685.91

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Solution

The fourth proportional to 13,654.26, 18,842.67 and 7,685.91 is: 10,606.44

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,654.26 : 18,842.67 = 7,685.91 : x
  2. Step 2: Convert to fraction form
    13,654.26/18,842.67 = 7,685.91/x
  3. Step 3: Cross multiply
    13,654.26x = 18,842.67 × 7,685.91
  4. Step 4: Simplify right side
    13,654.26x = 144,823,065.78
  5. Step 5: Solve for x
    x = 144,823,065.78/13,654.26
  6. Step 6: Final answer
    x = 10,606.44

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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.