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Finding the Fourth Proportional to 11,099, 15,310.14 and 6,908.60

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Solution

The fourth proportional to 11,099, 15,310.14 and 6,908.60 is: 9,529.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,099 : 15,310.14 = 6,908.60 : x
  2. Step 2: Convert to fraction form
    11,099/15,310.14 = 6,908.60/x
  3. Step 3: Cross multiply
    11,099x = 15,310.14 × 6,908.60
  4. Step 4: Simplify right side
    11,099x = 105,771,633.20
  5. Step 5: Solve for x
    x = 105,771,633.20/11,099
  6. Step 6: Final answer
    x = 9,529.83

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1.5x scale

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.