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Finding the Fourth Proportional to 20,765.25, 31,147.88 and 6,914.25

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Solution

The fourth proportional to 20,765.25, 31,147.88 and 6,914.25 is: 10,371.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.25 : 31,147.88 = 6,914.25 : x
  2. Step 2: Convert to fraction form
    20,765.25/31,147.88 = 6,914.25/x
  3. Step 3: Cross multiply
    20,765.25x = 31,147.88 × 6,914.25
  4. Step 4: Simplify right side
    20,765.25x = 215,364,194.72
  5. Step 5: Solve for x
    x = 215,364,194.72/20,765.25
  6. Step 6: Final answer
    x = 10,371.38

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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.