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Finding the Fourth Proportional to 13,907.52, 20,861.28 and 8,424

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Solution

The fourth proportional to 13,907.52, 20,861.28 and 8,424 is: 12,636

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,907.52 : 20,861.28 = 8,424 : x
  2. Step 2: Convert to fraction form
    13,907.52/20,861.28 = 8,424/x
  3. Step 3: Cross multiply
    13,907.52x = 20,861.28 × 8,424
  4. Step 4: Simplify right side
    13,907.52x = 175,735,422.72
  5. Step 5: Solve for x
    x = 175,735,422.72/13,907.52
  6. Step 6: Final answer
    x = 12,636

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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.