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Finding the Fourth Proportional to 9,489.24, 14,224.14 and 4,221

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Solution

The fourth proportional to 9,489.24, 14,224.14 and 4,221 is: 6,327.18

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,489.24 : 14,224.14 = 4,221 : x
  2. Step 2: Convert to fraction form
    9,489.24/14,224.14 = 4,221/x
  3. Step 3: Cross multiply
    9,489.24x = 14,224.14 × 4,221
  4. Step 4: Simplify right side
    9,489.24x = 60,040,094.94
  5. Step 5: Solve for x
    x = 60,040,094.94/9,489.24
  6. Step 6: Final answer
    x = 6,327.18

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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.