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Finding the Fourth Proportional to 11,376.65, 17,069.54 and 3,986.42

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Solution

The fourth proportional to 11,376.65, 17,069.54 and 3,986.42 is: 5,981.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,376.65 : 17,069.54 = 3,986.42 : x
  2. Step 2: Convert to fraction form
    11,376.65/17,069.54 = 3,986.42/x
  3. Step 3: Cross multiply
    11,376.65x = 17,069.54 × 3,986.42
  4. Step 4: Simplify right side
    11,376.65x = 68,046,250.37
  5. Step 5: Solve for x
    x = 68,046,250.37/11,376.65
  6. Step 6: Final answer
    x = 5,981.22

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.