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Finding the Fourth Proportional to 20,765.25, 31,160.84 and 8,453.25

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Solution

The fourth proportional to 20,765.25, 31,160.84 and 8,453.25 is: 12,685.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,765.25 : 31,160.84 = 8,453.25 : x
  2. Step 2: Convert to fraction form
    20,765.25/31,160.84 = 8,453.25/x
  3. Step 3: Cross multiply
    20,765.25x = 31,160.84 × 8,453.25
  4. Step 4: Simplify right side
    20,765.25x = 263,410,328.46
  5. Step 5: Solve for x
    x = 263,410,328.46/20,765.25
  6. Step 6: Final answer
    x = 12,685.15

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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.