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Finding the Fourth Proportional to 25,375.50, 38,065.05 and 7,843.05

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Solution

The fourth proportional to 25,375.50, 38,065.05 and 7,843.05 is: 11,765.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,375.50 : 38,065.05 = 7,843.05 : x
  2. Step 2: Convert to fraction form
    25,375.50/38,065.05 = 7,843.05/x
  3. Step 3: Cross multiply
    25,375.50x = 38,065.05 × 7,843.05
  4. Step 4: Simplify right side
    25,375.50x = 298,546,090.40
  5. Step 5: Solve for x
    x = 298,546,090.40/25,375.50
  6. Step 6: Final answer
    x = 11,765.13

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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.