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Finding the Fourth Proportional to 18,457, 27,668.46 and 7,361

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Solution

The fourth proportional to 18,457, 27,668.46 and 7,361 is: 11,034.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,457 : 27,668.46 = 7,361 : x
  2. Step 2: Convert to fraction form
    18,457/27,668.46 = 7,361/x
  3. Step 3: Cross multiply
    18,457x = 27,668.46 × 7,361
  4. Step 4: Simplify right side
    18,457x = 203,667,534.06
  5. Step 5: Solve for x
    x = 203,667,534.06/18,457
  6. Step 6: Final answer
    x = 11,034.70

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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.