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Finding the Fourth Proportional to 9,484.65, 14,231.07 and 3,939.21

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Solution

The fourth proportional to 9,484.65, 14,231.07 and 3,939.21 is: 5,910.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,484.65 : 14,231.07 = 3,939.21 : x
  2. Step 2: Convert to fraction form
    9,484.65/14,231.07 = 3,939.21/x
  3. Step 3: Cross multiply
    9,484.65x = 14,231.07 × 3,939.21
  4. Step 4: Simplify right side
    9,484.65x = 56,059,173.25
  5. Step 5: Solve for x
    x = 56,059,173.25/9,484.65
  6. Step 6: Final answer
    x = 5,910.52

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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.