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Finding the Fourth Proportional to 10,255, 15,380.92 and 2,858.68

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Solution

The fourth proportional to 10,255, 15,380.92 and 2,858.68 is: 4,287.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    10,255 : 15,380.92 = 2,858.68 : x
  2. Step 2: Convert to fraction form
    10,255/15,380.92 = 2,858.68/x
  3. Step 3: Cross multiply
    10,255x = 15,380.92 × 2,858.68
  4. Step 4: Simplify right side
    10,255x = 43,969,128.39
  5. Step 5: Solve for x
    x = 43,969,128.39/10,255
  6. Step 6: Final answer
    x = 4,287.58

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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.