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Finding the Fourth Proportional to 32,940, 49,410 and 12,163.50

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Solution

The fourth proportional to 32,940, 49,410 and 12,163.50 is: 18,245.25

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,940 : 49,410 = 12,163.50 : x
  2. Step 2: Convert to fraction form
    32,940/49,410 = 12,163.50/x
  3. Step 3: Cross multiply
    32,940x = 49,410 × 12,163.50
  4. Step 4: Simplify right side
    32,940x = 600,998,535
  5. Step 5: Solve for x
    x = 600,998,535/32,940
  6. Step 6: Final answer
    x = 18,245.25

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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.