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Finding the Fourth Proportional to 12,321.65, 18,485.37 and 4,001.03

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Solution

The fourth proportional to 12,321.65, 18,485.37 and 4,001.03 is: 6,002.49

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,321.65 : 18,485.37 = 4,001.03 : x
  2. Step 2: Convert to fraction form
    12,321.65/18,485.37 = 4,001.03/x
  3. Step 3: Cross multiply
    12,321.65x = 18,485.37 × 4,001.03
  4. Step 4: Simplify right side
    12,321.65x = 73,960,519.93
  5. Step 5: Solve for x
    x = 73,960,519.93/12,321.65
  6. Step 6: Final answer
    x = 6,002.49

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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.