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Finding the Fourth Proportional to 14,647, 20,212.86 and 8,359.24

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Solution

The fourth proportional to 14,647, 20,212.86 and 8,359.24 is: 11,535.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,647 : 20,212.86 = 8,359.24 : x
  2. Step 2: Convert to fraction form
    14,647/20,212.86 = 8,359.24/x
  3. Step 3: Cross multiply
    14,647x = 20,212.86 × 8,359.24
  4. Step 4: Simplify right side
    14,647x = 168,964,147.83
  5. Step 5: Solve for x
    x = 168,964,147.83/14,647
  6. Step 6: Final answer
    x = 11,535.75

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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.