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Finding the Fourth Proportional to 20,425, 30,637.50 and 5,634.04

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Solution

The fourth proportional to 20,425, 30,637.50 and 5,634.04 is: 8,451.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,425 : 30,637.50 = 5,634.04 : x
  2. Step 2: Convert to fraction form
    20,425/30,637.50 = 5,634.04/x
  3. Step 3: Cross multiply
    20,425x = 30,637.50 × 5,634.04
  4. Step 4: Simplify right side
    20,425x = 172,612,900.50
  5. Step 5: Solve for x
    x = 172,612,900.50/20,425
  6. Step 6: Final answer
    x = 8,451.06

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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.