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Finding the Fourth Proportional to 28,571, 42,884.21 and 13,790.33

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Solution

The fourth proportional to 28,571, 42,884.21 and 13,790.33 is: 20,698.87

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,571 : 42,884.21 = 13,790.33 : x
  2. Step 2: Convert to fraction form
    28,571/42,884.21 = 13,790.33/x
  3. Step 3: Cross multiply
    28,571x = 42,884.21 × 13,790.33
  4. Step 4: Simplify right side
    28,571x = 591,387,407.69
  5. Step 5: Solve for x
    x = 591,387,407.69/28,571
  6. Step 6: Final answer
    x = 20,698.87

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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.