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Finding the Fourth Proportional to 2,609.74, 3,914.63 and 878.36

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Solution

The fourth proportional to 2,609.74, 3,914.63 and 878.36 is: 1,317.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,609.74 : 3,914.63 = 878.36 : x
  2. Step 2: Convert to fraction form
    2,609.74/3,914.63 = 878.36/x
  3. Step 3: Cross multiply
    2,609.74x = 3,914.63 × 878.36
  4. Step 4: Simplify right side
    2,609.74x = 3,438,454.41
  5. Step 5: Solve for x
    x = 3,438,454.41/2,609.74
  6. Step 6: Final answer
    x = 1,317.55

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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.