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Finding the Fourth Proportional to 13,884.95, 20,827.22 and 3,354.88

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Solution

The fourth proportional to 13,884.95, 20,827.22 and 3,354.88 is: 5,032.27

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,884.95 : 20,827.22 = 3,354.88 : x
  2. Step 2: Convert to fraction form
    13,884.95/20,827.22 = 3,354.88/x
  3. Step 3: Cross multiply
    13,884.95x = 20,827.22 × 3,354.88
  4. Step 4: Simplify right side
    13,884.95x = 69,872,823.83
  5. Step 5: Solve for x
    x = 69,872,823.83/13,884.95
  6. Step 6: Final answer
    x = 5,032.27

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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.