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Finding the Fourth Proportional to 18,356, 27,534.08 and 7,412

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Solution

The fourth proportional to 18,356, 27,534.08 and 7,412 is: 11,118.03

Step by Step Solution

  1. Step 1: Write the proportion equation
    18,356 : 27,534.08 = 7,412 : x
  2. Step 2: Convert to fraction form
    18,356/27,534.08 = 7,412/x
  3. Step 3: Cross multiply
    18,356x = 27,534.08 × 7,412
  4. Step 4: Simplify right side
    18,356x = 204,082,600.96
  5. Step 5: Solve for x
    x = 204,082,600.96/18,356
  6. Step 6: Final answer
    x = 11,118.03

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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.