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Finding the Fourth Proportional to 6,147, 8,482.86 and 3,663

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Solution

The fourth proportional to 6,147, 8,482.86 and 3,663 is: 5,054.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    6,147 : 8,482.86 = 3,663 : x
  2. Step 2: Convert to fraction form
    6,147/8,482.86 = 3,663/x
  3. Step 3: Cross multiply
    6,147x = 8,482.86 × 3,663
  4. Step 4: Simplify right side
    6,147x = 31,072,716.18
  5. Step 5: Solve for x
    x = 31,072,716.18/6,147
  6. Step 6: Final answer
    x = 5,054.94

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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.