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Finding the Fourth Proportional to 11,100, 15,318.04 and 6,132

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Solution

The fourth proportional to 11,100, 15,318.04 and 6,132 is: 8,462.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,100 : 15,318.04 = 6,132 : x
  2. Step 2: Convert to fraction form
    11,100/15,318.04 = 6,132/x
  3. Step 3: Cross multiply
    11,100x = 15,318.04 × 6,132
  4. Step 4: Simplify right side
    11,100x = 93,930,221.28
  5. Step 5: Solve for x
    x = 93,930,221.28/11,100
  6. Step 6: Final answer
    x = 8,462.18

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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.