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Finding the Fourth Proportional to 28,012.20, 41,978.86 and 15,537.96

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Solution

The fourth proportional to 28,012.20, 41,978.86 and 15,537.96 is: 23,285.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,012.20 : 41,978.86 = 15,537.96 : x
  2. Step 2: Convert to fraction form
    28,012.20/41,978.86 = 15,537.96/x
  3. Step 3: Cross multiply
    28,012.20x = 41,978.86 × 15,537.96
  4. Step 4: Simplify right side
    28,012.20x = 652,265,847.53
  5. Step 5: Solve for x
    x = 652,265,847.53/28,012.20
  6. Step 6: Final answer
    x = 23,285.06

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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.