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Finding the Fourth Proportional to 32,769, 49,153.68 and 8,145

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Solution

The fourth proportional to 32,769, 49,153.68 and 8,145 is: 12,217.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,769 : 49,153.68 = 8,145 : x
  2. Step 2: Convert to fraction form
    32,769/49,153.68 = 8,145/x
  3. Step 3: Cross multiply
    32,769x = 49,153.68 × 8,145
  4. Step 4: Simplify right side
    32,769x = 400,356,723.60
  5. Step 5: Solve for x
    x = 400,356,723.60/32,769
  6. Step 6: Final answer
    x = 12,217.54

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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.