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Finding the Fourth Proportional to 12,152.64, 16,760.96 and 9,168.96

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Solution

The fourth proportional to 12,152.64, 16,760.96 and 9,168.96 is: 12,645.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,152.64 : 16,760.96 = 9,168.96 : x
  2. Step 2: Convert to fraction form
    12,152.64/16,760.96 = 9,168.96/x
  3. Step 3: Cross multiply
    12,152.64x = 16,760.96 × 9,168.96
  4. Step 4: Simplify right side
    12,152.64x = 153,680,571.80
  5. Step 5: Solve for x
    x = 153,680,571.80/12,152.64
  6. Step 6: Final answer
    x = 12,645.86

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.