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Finding the Fourth Proportional to 13,838.72, 20,758 and 5,406.08

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Solution

The fourth proportional to 13,838.72, 20,758 and 5,406.08 is: 8,109.09

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,838.72 : 20,758 = 5,406.08 : x
  2. Step 2: Convert to fraction form
    13,838.72/20,758 = 5,406.08/x
  3. Step 3: Cross multiply
    13,838.72x = 20,758 × 5,406.08
  4. Step 4: Simplify right side
    13,838.72x = 112,219,408.64
  5. Step 5: Solve for x
    x = 112,219,408.64/13,838.72
  6. Step 6: Final answer
    x = 8,109.09

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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.