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Finding the Fourth Proportional to 14,822.69, 20,455.29 and 8,108.29

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Solution

The fourth proportional to 14,822.69, 20,455.29 and 8,108.29 is: 11,189.42

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,822.69 : 20,455.29 = 8,108.29 : x
  2. Step 2: Convert to fraction form
    14,822.69/20,455.29 = 8,108.29/x
  3. Step 3: Cross multiply
    14,822.69x = 20,455.29 × 8,108.29
  4. Step 4: Simplify right side
    14,822.69x = 165,857,321.08
  5. Step 5: Solve for x
    x = 165,857,321.08/14,822.69
  6. Step 6: Final answer
    x = 11,189.42

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1.5x scale

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.