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Finding the Fourth Proportional to 18,409, 27,613.50 and 4,558

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Solution

The fourth proportional to 18,409, 27,613.50 and 4,558 is: 6,837

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,409 : 27,613.50 = 4,558 : x
  2. Step 2: Convert to fraction form
    18,409/27,613.50 = 4,558/x
  3. Step 3: Cross multiply
    18,409x = 27,613.50 × 4,558
  4. Step 4: Simplify right side
    18,409x = 125,862,333
  5. Step 5: Solve for x
    x = 125,862,333/18,409
  6. Step 6: Final answer
    x = 6,837

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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.