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Finding the Fourth Proportional to 19,666, 27,138.90 and 11,708.08

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Solution

The fourth proportional to 19,666, 27,138.90 and 11,708.08 is: 16,157.04

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,666 : 27,138.90 = 11,708.08 : x
  2. Step 2: Convert to fraction form
    19,666/27,138.90 = 11,708.08/x
  3. Step 3: Cross multiply
    19,666x = 27,138.90 × 11,708.08
  4. Step 4: Simplify right side
    19,666x = 317,744,412.31
  5. Step 5: Solve for x
    x = 317,744,412.31/19,666
  6. Step 6: Final answer
    x = 16,157.04

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.