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Finding the Fourth Proportional to 19,940, 27,523.68 and 11,554.88

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Solution

The fourth proportional to 19,940, 27,523.68 and 11,554.88 is: 15,949.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    19,940 : 27,523.68 = 11,554.88 : x
  2. Step 2: Convert to fraction form
    19,940/27,523.68 = 11,554.88/x
  3. Step 3: Cross multiply
    19,940x = 27,523.68 × 11,554.88
  4. Step 4: Simplify right side
    19,940x = 318,032,819.56
  5. Step 5: Solve for x
    x = 318,032,819.56/19,940
  6. Step 6: Final answer
    x = 15,949.49

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1.5x scale

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.