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Finding the Fourth Proportional to 20,124.64, 27,770.64 and 12,171.24

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Solution

The fourth proportional to 20,124.64, 27,770.64 and 12,171.24 is: 16,795.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,124.64 : 27,770.64 = 12,171.24 : x
  2. Step 2: Convert to fraction form
    20,124.64/27,770.64 = 12,171.24/x
  3. Step 3: Cross multiply
    20,124.64x = 27,770.64 × 12,171.24
  4. Step 4: Simplify right side
    20,124.64x = 338,003,124.39
  5. Step 5: Solve for x
    x = 338,003,124.39/20,124.64
  6. Step 6: Final answer
    x = 16,795.49

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.