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Finding the Fourth Proportional to 12,288, 16,958.72 and 7,572.16

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Solution

The fourth proportional to 12,288, 16,958.72 and 7,572.16 is: 10,450.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,288 : 16,958.72 = 7,572.16 : x
  2. Step 2: Convert to fraction form
    12,288/16,958.72 = 7,572.16/x
  3. Step 3: Cross multiply
    12,288x = 16,958.72 × 7,572.16
  4. Step 4: Simplify right side
    12,288x = 128,414,141.24
  5. Step 5: Solve for x
    x = 128,414,141.24/12,288
  6. Step 6: Final answer
    x = 10,450.37

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1.5x scale

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.