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Finding the Fourth Proportional to 3,886.49, 5,834.62 and 3,116.09

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Solution

The fourth proportional to 3,886.49, 5,834.62 and 3,116.09 is: 4,678.05

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,886.49 : 5,834.62 = 3,116.09 : x
  2. Step 2: Convert to fraction form
    3,886.49/5,834.62 = 3,116.09/x
  3. Step 3: Cross multiply
    3,886.49x = 5,834.62 × 3,116.09
  4. Step 4: Simplify right side
    3,886.49x = 18,181,201.04
  5. Step 5: Solve for x
    x = 18,181,201.04/3,886.49
  6. Step 6: Final answer
    x = 4,678.05

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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.