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Finding the Fourth Proportional to 13,714.65, 18,926.19 and 7,747.56

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Solution

The fourth proportional to 13,714.65, 18,926.19 and 7,747.56 is: 10,691.62

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,714.65 : 18,926.19 = 7,747.56 : x
  2. Step 2: Convert to fraction form
    13,714.65/18,926.19 = 7,747.56/x
  3. Step 3: Cross multiply
    13,714.65x = 18,926.19 × 7,747.56
  4. Step 4: Simplify right side
    13,714.65x = 146,631,792.60
  5. Step 5: Solve for x
    x = 146,631,792.60/13,714.65
  6. Step 6: Final answer
    x = 10,691.62

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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.