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Finding the Fourth Proportional to 13,674.65, 20,476.44 and 11,712.87

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Solution

The fourth proportional to 13,674.65, 20,476.44 and 11,712.87 is: 17,538.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,674.65 : 20,476.44 = 11,712.87 : x
  2. Step 2: Convert to fraction form
    13,674.65/20,476.44 = 11,712.87/x
  3. Step 3: Cross multiply
    13,674.65x = 20,476.44 × 11,712.87
  4. Step 4: Simplify right side
    13,674.65x = 239,837,879.78
  5. Step 5: Solve for x
    x = 239,837,879.78/13,674.65
  6. Step 6: Final answer
    x = 17,538.87

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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.