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Finding the Fourth Proportional to 9,308.81, 13,930.41 and 7,099.94

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Solution

The fourth proportional to 9,308.81, 13,930.41 and 7,099.94 is: 10,624.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,308.81 : 13,930.41 = 7,099.94 : x
  2. Step 2: Convert to fraction form
    9,308.81/13,930.41 = 7,099.94/x
  3. Step 3: Cross multiply
    9,308.81x = 13,930.41 × 7,099.94
  4. Step 4: Simplify right side
    9,308.81x = 98,904,998.36
  5. Step 5: Solve for x
    x = 98,904,998.36/9,308.81
  6. Step 6: Final answer
    x = 10,624.88

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.