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Finding the Fourth Proportional to 5,486.63, 8,225.82 and 1,786.64

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Solution

The fourth proportional to 5,486.63, 8,225.82 and 1,786.64 is: 2,678.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,486.63 : 8,225.82 = 1,786.64 : x
  2. Step 2: Convert to fraction form
    5,486.63/8,225.82 = 1,786.64/x
  3. Step 3: Cross multiply
    5,486.63x = 8,225.82 × 1,786.64
  4. Step 4: Simplify right side
    5,486.63x = 14,696,537.92
  5. Step 5: Solve for x
    x = 14,696,537.92/5,486.63
  6. Step 6: Final answer
    x = 2,678.61

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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.