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Finding the Fourth Proportional to 9,231.57, 12,736.81 and 5,455.08

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Solution

The fourth proportional to 9,231.57, 12,736.81 and 5,455.08 is: 7,526.38

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,231.57 : 12,736.81 = 5,455.08 : x
  2. Step 2: Convert to fraction form
    9,231.57/12,736.81 = 5,455.08/x
  3. Step 3: Cross multiply
    9,231.57x = 12,736.81 × 5,455.08
  4. Step 4: Simplify right side
    9,231.57x = 69,480,324.31
  5. Step 5: Solve for x
    x = 69,480,324.31/9,231.57
  6. Step 6: Final answer
    x = 7,526.38

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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.