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Finding the Fourth Proportional to 13,886, 20,825.84 and 4,023.12

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Solution

The fourth proportional to 13,886, 20,825.84 and 4,023.12 is: 6,033.76

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,886 : 20,825.84 = 4,023.12 : x
  2. Step 2: Convert to fraction form
    13,886/20,825.84 = 4,023.12/x
  3. Step 3: Cross multiply
    13,886x = 20,825.84 × 4,023.12
  4. Step 4: Simplify right side
    13,886x = 83,784,853.42
  5. Step 5: Solve for x
    x = 83,784,853.42/13,886
  6. Step 6: Final answer
    x = 6,033.76

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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.