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Finding the Fourth Proportional to 11,109, 15,330.42 and 6,141

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Solution

The fourth proportional to 11,109, 15,330.42 and 6,141 is: 8,474.58

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,109 : 15,330.42 = 6,141 : x
  2. Step 2: Convert to fraction form
    11,109/15,330.42 = 6,141/x
  3. Step 3: Cross multiply
    11,109x = 15,330.42 × 6,141
  4. Step 4: Simplify right side
    11,109x = 94,144,109.22
  5. Step 5: Solve for x
    x = 94,144,109.22/11,109
  6. Step 6: Final answer
    x = 8,474.58

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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.