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Finding the Fourth Proportional to 14,870, 20,520.84 and 8,246

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Solution

The fourth proportional to 14,870, 20,520.84 and 8,246 is: 11,379.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,870 : 20,520.84 = 8,246 : x
  2. Step 2: Convert to fraction form
    14,870/20,520.84 = 8,246/x
  3. Step 3: Cross multiply
    14,870x = 20,520.84 × 8,246
  4. Step 4: Simplify right side
    14,870x = 169,214,846.64
  5. Step 5: Solve for x
    x = 169,214,846.64/14,870
  6. Step 6: Final answer
    x = 11,379.61

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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.