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Finding the Fourth Proportional to 13,893.87, 20,838.68 and 4,533.87

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Solution

The fourth proportional to 13,893.87, 20,838.68 and 4,533.87 is: 6,800.11

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,893.87 : 20,838.68 = 4,533.87 : x
  2. Step 2: Convert to fraction form
    13,893.87/20,838.68 = 4,533.87/x
  3. Step 3: Cross multiply
    13,893.87x = 20,838.68 × 4,533.87
  4. Step 4: Simplify right side
    13,893.87x = 94,479,843.42
  5. Step 5: Solve for x
    x = 94,479,843.42/13,893.87
  6. Step 6: Final answer
    x = 6,800.11

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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.