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Finding the Fourth Proportional to 11,010, 15,193.80 and 6,042

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Solution

The fourth proportional to 11,010, 15,193.80 and 6,042 is: 8,337.96

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,010 : 15,193.80 = 6,042 : x
  2. Step 2: Convert to fraction form
    11,010/15,193.80 = 6,042/x
  3. Step 3: Cross multiply
    11,010x = 15,193.80 × 6,042
  4. Step 4: Simplify right side
    11,010x = 91,800,939.60
  5. Step 5: Solve for x
    x = 91,800,939.60/11,010
  6. Step 6: Final answer
    x = 8,337.96

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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.