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Finding the Fourth Proportional to 15,907.68, 23,843.52 and 8,100

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Solution

The fourth proportional to 15,907.68, 23,843.52 and 8,100 is: 12,140.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,907.68 : 23,843.52 = 8,100 : x
  2. Step 2: Convert to fraction form
    15,907.68/23,843.52 = 8,100/x
  3. Step 3: Cross multiply
    15,907.68x = 23,843.52 × 8,100
  4. Step 4: Simplify right side
    15,907.68x = 193,132,512
  5. Step 5: Solve for x
    x = 193,132,512/15,907.68
  6. Step 6: Final answer
    x = 12,140.83

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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.