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Finding the Fourth Proportional to 11,102.65, 15,321.83 and 6,629.02

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Solution

The fourth proportional to 11,102.65, 15,321.83 and 6,629.02 is: 9,148.15

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,102.65 : 15,321.83 = 6,629.02 : x
  2. Step 2: Convert to fraction form
    11,102.65/15,321.83 = 6,629.02/x
  3. Step 3: Cross multiply
    11,102.65x = 15,321.83 × 6,629.02
  4. Step 4: Simplify right side
    11,102.65x = 101,568,646.06
  5. Step 5: Solve for x
    x = 101,568,646.06/11,102.65
  6. Step 6: Final answer
    x = 9,148.15

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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.