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Finding the Fourth Proportional to 12,309.36, 18,453 and 4,512.72

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Solution

The fourth proportional to 12,309.36, 18,453 and 4,512.72 is: 6,765.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,309.36 : 18,453 = 4,512.72 : x
  2. Step 2: Convert to fraction form
    12,309.36/18,453 = 4,512.72/x
  3. Step 3: Cross multiply
    12,309.36x = 18,453 × 4,512.72
  4. Step 4: Simplify right side
    12,309.36x = 83,273,222.16
  5. Step 5: Solve for x
    x = 83,273,222.16/12,309.36
  6. Step 6: Final answer
    x = 6,765.03

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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.