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Finding the Fourth Proportional to 18,458, 27,687.24 and 6,146

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Solution

The fourth proportional to 18,458, 27,687.24 and 6,146 is: 9,219.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,458 : 27,687.24 = 6,146 : x
  2. Step 2: Convert to fraction form
    18,458/27,687.24 = 6,146/x
  3. Step 3: Cross multiply
    18,458x = 27,687.24 × 6,146
  4. Step 4: Simplify right side
    18,458x = 170,165,777.04
  5. Step 5: Solve for x
    x = 170,165,777.04/18,458
  6. Step 6: Final answer
    x = 9,219.08

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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.