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Finding the Fourth Proportional to 20,348.75, 30,661.77 and 16,732

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Solution

The fourth proportional to 20,348.75, 30,661.77 and 16,732 is: 25,212.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    20,348.75 : 30,661.77 = 16,732 : x
  2. Step 2: Convert to fraction form
    20,348.75/30,661.77 = 16,732/x
  3. Step 3: Cross multiply
    20,348.75x = 30,661.77 × 16,732
  4. Step 4: Simplify right side
    20,348.75x = 513,032,735.64
  5. Step 5: Solve for x
    x = 513,032,735.64/20,348.75
  6. Step 6: Final answer
    x = 25,212.00

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Why These Related Problems?

These problems maintain the same ratio (1.51) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.