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Finding the Fourth Proportional to 14,216, 21,324 and 3,827.75

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Solution

The fourth proportional to 14,216, 21,324 and 3,827.75 is: 5,741.63

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,216 : 21,324 = 3,827.75 : x
  2. Step 2: Convert to fraction form
    14,216/21,324 = 3,827.75/x
  3. Step 3: Cross multiply
    14,216x = 21,324 × 3,827.75
  4. Step 4: Simplify right side
    14,216x = 81,622,941
  5. Step 5: Solve for x
    x = 81,622,941/14,216
  6. Step 6: Final answer
    x = 5,741.63

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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.