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Finding the Fourth Proportional to 9,203.72, 12,704 and 5,227.48

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Solution

The fourth proportional to 9,203.72, 12,704 and 5,227.48 is: 7,215.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,203.72 : 12,704 = 5,227.48 : x
  2. Step 2: Convert to fraction form
    9,203.72/12,704 = 5,227.48/x
  3. Step 3: Cross multiply
    9,203.72x = 12,704 × 5,227.48
  4. Step 4: Simplify right side
    9,203.72x = 66,409,905.92
  5. Step 5: Solve for x
    x = 66,409,905.92/9,203.72
  6. Step 6: Final answer
    x = 7,215.55

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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.