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Finding the Fourth Proportional to 9,203.68, 13,786.02 and 7,639.96

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Solution

The fourth proportional to 9,203.68, 13,786.02 and 7,639.96 is: 11,443.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.68 : 13,786.02 = 7,639.96 : x
  2. Step 2: Convert to fraction form
    9,203.68/13,786.02 = 7,639.96/x
  3. Step 3: Cross multiply
    9,203.68x = 13,786.02 × 7,639.96
  4. Step 4: Simplify right side
    9,203.68x = 105,324,641.36
  5. Step 5: Solve for x
    x = 105,324,641.36/9,203.68
  6. Step 6: Final answer
    x = 11,443.75

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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.