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Finding the Fourth Proportional to 11,099, 15,316.62 and 6,131.32

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Solution

The fourth proportional to 11,099, 15,316.62 and 6,131.32 is: 8,461.22

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099 : 15,316.62 = 6,131.32 : x
  2. Step 2: Convert to fraction form
    11,099/15,316.62 = 6,131.32/x
  3. Step 3: Cross multiply
    11,099x = 15,316.62 × 6,131.32
  4. Step 4: Simplify right side
    11,099x = 93,911,098.54
  5. Step 5: Solve for x
    x = 93,911,098.54/11,099
  6. Step 6: Final answer
    x = 8,461.22

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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.