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Finding the Fourth Proportional to 11,129, 16,680.53 and 6,196.28

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Solution

The fourth proportional to 11,129, 16,680.53 and 6,196.28 is: 9,287.20

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,129 : 16,680.53 = 6,196.28 : x
  2. Step 2: Convert to fraction form
    11,129/16,680.53 = 6,196.28/x
  3. Step 3: Cross multiply
    11,129x = 16,680.53 × 6,196.28
  4. Step 4: Simplify right side
    11,129x = 103,357,234.43
  5. Step 5: Solve for x
    x = 103,357,234.43/11,129
  6. Step 6: Final answer
    x = 9,287.20

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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.