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Finding the Fourth Proportional to 16,128, 24,191.46 and 6,640.02

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Solution

The fourth proportional to 16,128, 24,191.46 and 6,640.02 is: 9,959.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    16,128 : 24,191.46 = 6,640.02 : x
  2. Step 2: Convert to fraction form
    16,128/24,191.46 = 6,640.02/x
  3. Step 3: Cross multiply
    16,128x = 24,191.46 × 6,640.02
  4. Step 4: Simplify right side
    16,128x = 160,631,778.23
  5. Step 5: Solve for x
    x = 160,631,778.23/16,128
  6. Step 6: Final answer
    x = 9,959.81

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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.