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Finding the Fourth Proportional to 16,780, 23,156.48 and 9,328

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Solution

The fourth proportional to 16,780, 23,156.48 and 9,328 is: 12,872.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,780 : 23,156.48 = 9,328 : x
  2. Step 2: Convert to fraction form
    16,780/23,156.48 = 9,328/x
  3. Step 3: Cross multiply
    16,780x = 23,156.48 × 9,328
  4. Step 4: Simplify right side
    16,780x = 216,003,645.44
  5. Step 5: Solve for x
    x = 216,003,645.44/16,780
  6. Step 6: Final answer
    x = 12,872.68

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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.