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Finding the Fourth Proportional to 15,474, 21,356.82 and 9,186.24

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Solution

The fourth proportional to 15,474, 21,356.82 and 9,186.24 is: 12,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    15,474 : 21,356.82 = 9,186.24 : x
  2. Step 2: Convert to fraction form
    15,474/21,356.82 = 9,186.24/x
  3. Step 3: Cross multiply
    15,474x = 21,356.82 × 9,186.24
  4. Step 4: Simplify right side
    15,474x = 196,188,874.16
  5. Step 5: Solve for x
    x = 196,188,874.16/15,474
  6. Step 6: Final answer
    x = 12,678.61

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.