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Finding the Fourth Proportional to 11,099, 15,316.66 and 6,131

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Solution

The fourth proportional to 11,099, 15,316.66 and 6,131 is: 8,460.80

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099 : 15,316.66 = 6,131 : x
  2. Step 2: Convert to fraction form
    11,099/15,316.66 = 6,131/x
  3. Step 3: Cross multiply
    11,099x = 15,316.66 × 6,131
  4. Step 4: Simplify right side
    11,099x = 93,906,442.46
  5. Step 5: Solve for x
    x = 93,906,442.46/11,099
  6. Step 6: Final answer
    x = 8,460.80

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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.