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Finding the Fourth Proportional to 12,106, 18,162.64 and 4,313.80

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Solution

The fourth proportional to 12,106, 18,162.64 and 4,313.80 is: 6,472.00

Step by Step Solution

  1. Step 1: Write the proportion equation
    12,106 : 18,162.64 = 4,313.80 : x
  2. Step 2: Convert to fraction form
    12,106/18,162.64 = 4,313.80/x
  3. Step 3: Cross multiply
    12,106x = 18,162.64 × 4,313.80
  4. Step 4: Simplify right side
    12,106x = 78,349,996.43
  5. Step 5: Solve for x
    x = 78,349,996.43/12,106
  6. Step 6: Final answer
    x = 6,472.00

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.