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Finding the Fourth Proportional to 28,871.75, 39,843.02 and 16,297.31

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Solution

The fourth proportional to 28,871.75, 39,843.02 and 16,297.31 is: 22,490.29

Step by Step Solution

  1. Step 1: Write the proportion equation
    28,871.75 : 39,843.02 = 16,297.31 : x
  2. Step 2: Convert to fraction form
    28,871.75/39,843.02 = 16,297.31/x
  3. Step 3: Cross multiply
    28,871.75x = 39,843.02 × 16,297.31
  4. Step 4: Simplify right side
    28,871.75x = 649,334,048.28
  5. Step 5: Solve for x
    x = 649,334,048.28/28,871.75
  6. Step 6: Final answer
    x = 22,490.29

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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.