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Finding the Fourth Proportional to 14,840, 20,479.84 and 8,216

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Solution

The fourth proportional to 14,840, 20,479.84 and 8,216 is: 11,338.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,840 : 20,479.84 = 8,216 : x
  2. Step 2: Convert to fraction form
    14,840/20,479.84 = 8,216/x
  3. Step 3: Cross multiply
    14,840x = 20,479.84 × 8,216
  4. Step 4: Simplify right side
    14,840x = 168,262,365.44
  5. Step 5: Solve for x
    x = 168,262,365.44/14,840
  6. Step 6: Final answer
    x = 11,338.43

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.