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Finding the Fourth Proportional to 13,856, 20,784.96 and 5,648

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Solution

The fourth proportional to 13,856, 20,784.96 and 5,648 is: 8,472.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,856 : 20,784.96 = 5,648 : x
  2. Step 2: Convert to fraction form
    13,856/20,784.96 = 5,648/x
  3. Step 3: Cross multiply
    13,856x = 20,784.96 × 5,648
  4. Step 4: Simplify right side
    13,856x = 117,393,454.08
  5. Step 5: Solve for x
    x = 117,393,454.08/13,856
  6. Step 6: Final answer
    x = 8,472.39

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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.