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Finding the Fourth Proportional to 32,412, 48,632.64 and 18,561

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Solution

The fourth proportional to 32,412, 48,632.64 and 18,561 is: 27,849.88

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,412 : 48,632.64 = 18,561 : x
  2. Step 2: Convert to fraction form
    32,412/48,632.64 = 18,561/x
  3. Step 3: Cross multiply
    32,412x = 48,632.64 × 18,561
  4. Step 4: Simplify right side
    32,412x = 902,670,431.04
  5. Step 5: Solve for x
    x = 902,670,431.04/32,412
  6. Step 6: Final answer
    x = 27,849.88

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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.