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Finding the Fourth Proportional to 3,218.09, 4,826.76 and 878

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Solution

The fourth proportional to 3,218.09, 4,826.76 and 878 is: 1,316.90

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,218.09 : 4,826.76 = 878 : x
  2. Step 2: Convert to fraction form
    3,218.09/4,826.76 = 878/x
  3. Step 3: Cross multiply
    3,218.09x = 4,826.76 × 878
  4. Step 4: Simplify right side
    3,218.09x = 4,237,895.28
  5. Step 5: Solve for x
    x = 4,237,895.28/3,218.09
  6. Step 6: Final answer
    x = 1,316.90

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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.