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Finding the Fourth Proportional to 13,446, 20,173.86 and 4,212

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Solution

The fourth proportional to 13,446, 20,173.86 and 4,212 is: 6,319.52

Step by Step Solution

  1. Step 1: Write the proportion equation
    13,446 : 20,173.86 = 4,212 : x
  2. Step 2: Convert to fraction form
    13,446/20,173.86 = 4,212/x
  3. Step 3: Cross multiply
    13,446x = 20,173.86 × 4,212
  4. Step 4: Simplify right side
    13,446x = 84,972,298.32
  5. Step 5: Solve for x
    x = 84,972,298.32/13,446
  6. Step 6: Final answer
    x = 6,319.52

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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.