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Finding the Fourth Proportional to 16,757, 23,124.66 and 9,305

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Solution

The fourth proportional to 16,757, 23,124.66 and 9,305 is: 12,840.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,757 : 23,124.66 = 9,305 : x
  2. Step 2: Convert to fraction form
    16,757/23,124.66 = 9,305/x
  3. Step 3: Cross multiply
    16,757x = 23,124.66 × 9,305
  4. Step 4: Simplify right side
    16,757x = 215,174,961.30
  5. Step 5: Solve for x
    x = 215,174,961.30/16,757
  6. Step 6: Final answer
    x = 12,840.90

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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.