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Finding the Fourth Proportional to 2,727.66, 4,091.76 and 878.30

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Solution

The fourth proportional to 2,727.66, 4,091.76 and 878.30 is: 1,317.54

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,727.66 : 4,091.76 = 878.30 : x
  2. Step 2: Convert to fraction form
    2,727.66/4,091.76 = 878.30/x
  3. Step 3: Cross multiply
    2,727.66x = 4,091.76 × 878.30
  4. Step 4: Simplify right side
    2,727.66x = 3,593,792.81
  5. Step 5: Solve for x
    x = 3,593,792.81/2,727.66
  6. Step 6: Final answer
    x = 1,317.54

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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.