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Finding the Fourth Proportional to 20,783.40, 31,251.90 and 17,404.20

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Solution

The fourth proportional to 20,783.40, 31,251.90 and 17,404.20 is: 26,170.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,783.40 : 31,251.90 = 17,404.20 : x
  2. Step 2: Convert to fraction form
    20,783.40/31,251.90 = 17,404.20/x
  3. Step 3: Cross multiply
    20,783.40x = 31,251.90 × 17,404.20
  4. Step 4: Simplify right side
    20,783.40x = 543,914,317.98
  5. Step 5: Solve for x
    x = 543,914,317.98/20,783.40
  6. Step 6: Final answer
    x = 26,170.61

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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.