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Finding the Fourth Proportional to 18,358, 27,537.08 and 7,414

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Solution

The fourth proportional to 18,358, 27,537.08 and 7,414 is: 11,121.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,358 : 27,537.08 = 7,414 : x
  2. Step 2: Convert to fraction form
    18,358/27,537.08 = 7,414/x
  3. Step 3: Cross multiply
    18,358x = 27,537.08 × 7,414
  4. Step 4: Simplify right side
    18,358x = 204,159,911.12
  5. Step 5: Solve for x
    x = 204,159,911.12/18,358
  6. Step 6: Final answer
    x = 11,121.03

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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.