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Finding the Fourth Proportional to 20,939.76, 31,415.51 and 8,468.54

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Solution

The fourth proportional to 20,939.76, 31,415.51 and 8,468.54 is: 12,705.19

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,939.76 : 31,415.51 = 8,468.54 : x
  2. Step 2: Convert to fraction form
    20,939.76/31,415.51 = 8,468.54/x
  3. Step 3: Cross multiply
    20,939.76x = 31,415.51 × 8,468.54
  4. Step 4: Simplify right side
    20,939.76x = 266,043,539.25
  5. Step 5: Solve for x
    x = 266,043,539.25/20,939.76
  6. Step 6: Final answer
    x = 12,705.19

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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.