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Finding the Fourth Proportional to 3,186.62, 4,779.81 and 878.06

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Solution

The fourth proportional to 3,186.62, 4,779.81 and 878.06 is: 1,317.06

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,186.62 : 4,779.81 = 878.06 : x
  2. Step 2: Convert to fraction form
    3,186.62/4,779.81 = 878.06/x
  3. Step 3: Cross multiply
    3,186.62x = 4,779.81 × 878.06
  4. Step 4: Simplify right side
    3,186.62x = 4,196,959.97
  5. Step 5: Solve for x
    x = 4,196,959.97/3,186.62
  6. Step 6: Final answer
    x = 1,317.06

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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.