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Finding the Fourth Proportional to 14,624.48, 20,182 and 8,656

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Solution

The fourth proportional to 14,624.48, 20,182 and 8,656 is: 11,945.41

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,624.48 : 20,182 = 8,656 : x
  2. Step 2: Convert to fraction form
    14,624.48/20,182 = 8,656/x
  3. Step 3: Cross multiply
    14,624.48x = 20,182 × 8,656
  4. Step 4: Simplify right side
    14,624.48x = 174,695,392
  5. Step 5: Solve for x
    x = 174,695,392/14,624.48
  6. Step 6: Final answer
    x = 11,945.41

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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.