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Finding the Fourth Proportional to 11,805.80, 17,708.70 and 10,164.20

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Solution

The fourth proportional to 11,805.80, 17,708.70 and 10,164.20 is: 15,246.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,805.80 : 17,708.70 = 10,164.20 : x
  2. Step 2: Convert to fraction form
    11,805.80/17,708.70 = 10,164.20/x
  3. Step 3: Cross multiply
    11,805.80x = 17,708.70 × 10,164.20
  4. Step 4: Simplify right side
    11,805.80x = 179,994,768.54
  5. Step 5: Solve for x
    x = 179,994,768.54/11,805.80
  6. Step 6: Final answer
    x = 15,246.30

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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.