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Finding the Fourth Proportional to 11,843.47, 17,763.79 and 9,213.60

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Solution

The fourth proportional to 11,843.47, 17,763.79 and 9,213.60 is: 13,819.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,843.47 : 17,763.79 = 9,213.60 : x
  2. Step 2: Convert to fraction form
    11,843.47/17,763.79 = 9,213.60/x
  3. Step 3: Cross multiply
    11,843.47x = 17,763.79 × 9,213.60
  4. Step 4: Simplify right side
    11,843.47x = 163,668,455.54
  5. Step 5: Solve for x
    x = 163,668,455.54/11,843.47
  6. Step 6: Final answer
    x = 13,819.30

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1.5x scale

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.