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Finding the Fourth Proportional to 28,157.80, 38,813.10 and 22,180

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Solution

The fourth proportional to 28,157.80, 38,813.10 and 22,180 is: 30,573.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,157.80 : 38,813.10 = 22,180 : x
  2. Step 2: Convert to fraction form
    28,157.80/38,813.10 = 22,180/x
  3. Step 3: Cross multiply
    28,157.80x = 38,813.10 × 22,180
  4. Step 4: Simplify right side
    28,157.80x = 860,874,558
  5. Step 5: Solve for x
    x = 860,874,558/28,157.80
  6. Step 6: Final answer
    x = 30,573.22

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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.