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Finding the Fourth Proportional to 13,842.65, 20,767.52 and 3,982.66

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Solution

The fourth proportional to 13,842.65, 20,767.52 and 3,982.66 is: 5,975.01

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,842.65 : 20,767.52 = 3,982.66 : x
  2. Step 2: Convert to fraction form
    13,842.65/20,767.52 = 3,982.66/x
  3. Step 3: Cross multiply
    13,842.65x = 20,767.52 × 3,982.66
  4. Step 4: Simplify right side
    13,842.65x = 82,709,929.24
  5. Step 5: Solve for x
    x = 82,709,929.24/13,842.65
  6. Step 6: Final answer
    x = 5,975.01

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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.