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Finding the Fourth Proportional to 13,201.80, 19,764.30 and 11,819.40

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Solution

The fourth proportional to 13,201.80, 19,764.30 and 11,819.40 is: 17,694.72

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,201.80 : 19,764.30 = 11,819.40 : x
  2. Step 2: Convert to fraction form
    13,201.80/19,764.30 = 11,819.40/x
  3. Step 3: Cross multiply
    13,201.80x = 19,764.30 × 11,819.40
  4. Step 4: Simplify right side
    13,201.80x = 233,602,167.42
  5. Step 5: Solve for x
    x = 233,602,167.42/13,201.80
  6. Step 6: Final answer
    x = 17,694.72

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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.