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Finding the Fourth Proportional to 16,782, 25,171.92 and 6,918.72

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Solution

The fourth proportional to 16,782, 25,171.92 and 6,918.72 is: 10,377.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,782 : 25,171.92 = 6,918.72 : x
  2. Step 2: Convert to fraction form
    16,782/25,171.92 = 6,918.72/x
  3. Step 3: Cross multiply
    16,782x = 25,171.92 × 6,918.72
  4. Step 4: Simplify right side
    16,782x = 174,157,466.34
  5. Step 5: Solve for x
    x = 174,157,466.34/16,782
  6. Step 6: Final answer
    x = 10,377.63

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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.