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Finding the Fourth Proportional to 14,756, 20,364.14 and 8,468.78

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Solution

The fourth proportional to 14,756, 20,364.14 and 8,468.78 is: 11,687.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,756 : 20,364.14 = 8,468.78 : x
  2. Step 2: Convert to fraction form
    14,756/20,364.14 = 8,468.78/x
  3. Step 3: Cross multiply
    14,756x = 20,364.14 × 8,468.78
  4. Step 4: Simplify right side
    14,756x = 172,459,379.21
  5. Step 5: Solve for x
    x = 172,459,379.21/14,756
  6. Step 6: Final answer
    x = 11,687.41

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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.