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Finding the Fourth Proportional to 20,914.70, 31,368.84 and 8,431.47

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Solution

The fourth proportional to 20,914.70, 31,368.84 and 8,431.47 is: 12,645.91

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,914.70 : 31,368.84 = 8,431.47 : x
  2. Step 2: Convert to fraction form
    20,914.70/31,368.84 = 8,431.47/x
  3. Step 3: Cross multiply
    20,914.70x = 31,368.84 × 8,431.47
  4. Step 4: Simplify right side
    20,914.70x = 264,485,433.39
  5. Step 5: Solve for x
    x = 264,485,433.39/20,914.70
  6. Step 6: Final answer
    x = 12,645.91

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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.