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Finding the Fourth Proportional to 20,228, 30,347.12 and 5,636

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Solution

The fourth proportional to 20,228, 30,347.12 and 5,636 is: 8,455.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,228 : 30,347.12 = 5,636 : x
  2. Step 2: Convert to fraction form
    20,228/30,347.12 = 5,636/x
  3. Step 3: Cross multiply
    20,228x = 30,347.12 × 5,636
  4. Step 4: Simplify right side
    20,228x = 171,036,368.32
  5. Step 5: Solve for x
    x = 171,036,368.32/20,228
  6. Step 6: Final answer
    x = 8,455.43

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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.