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Finding the Fourth Proportional to 16,128, 24,174.72 and 6,765.66

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Solution

The fourth proportional to 16,128, 24,174.72 and 6,765.66 is: 10,141.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128 : 24,174.72 = 6,765.66 : x
  2. Step 2: Convert to fraction form
    16,128/24,174.72 = 6,765.66/x
  3. Step 3: Cross multiply
    16,128x = 24,174.72 × 6,765.66
  4. Step 4: Simplify right side
    16,128x = 163,557,936.12
  5. Step 5: Solve for x
    x = 163,557,936.12/16,128
  6. Step 6: Final answer
    x = 10,141.24

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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.