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Finding the Fourth Proportional to 11,222, 15,486.36 and 6,186.30

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Solution

The fourth proportional to 11,222, 15,486.36 and 6,186.30 is: 8,537.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,222 : 15,486.36 = 6,186.30 : x
  2. Step 2: Convert to fraction form
    11,222/15,486.36 = 6,186.30/x
  3. Step 3: Cross multiply
    11,222x = 15,486.36 × 6,186.30
  4. Step 4: Simplify right side
    11,222x = 95,803,237.94
  5. Step 5: Solve for x
    x = 95,803,237.94/11,222
  6. Step 6: Final answer
    x = 8,537.09

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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.