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Finding the Fourth Proportional to 32,912.16, 49,338 and 12,120

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Solution

The fourth proportional to 32,912.16, 49,338 and 12,120 is: 18,168.86

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,912.16 : 49,338 = 12,120 : x
  2. Step 2: Convert to fraction form
    32,912.16/49,338 = 12,120/x
  3. Step 3: Cross multiply
    32,912.16x = 49,338 × 12,120
  4. Step 4: Simplify right side
    32,912.16x = 597,976,560
  5. Step 5: Solve for x
    x = 597,976,560/32,912.16
  6. Step 6: Final answer
    x = 18,168.86

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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.