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Finding the Fourth Proportional to 3,475.11, 5,212.63 and 878.05

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Solution

The fourth proportional to 3,475.11, 5,212.63 and 878.05 is: 1,317.07

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.11 : 5,212.63 = 878.05 : x
  2. Step 2: Convert to fraction form
    3,475.11/5,212.63 = 878.05/x
  3. Step 3: Cross multiply
    3,475.11x = 5,212.63 × 878.05
  4. Step 4: Simplify right side
    3,475.11x = 4,576,949.77
  5. Step 5: Solve for x
    x = 4,576,949.77/3,475.11
  6. Step 6: Final answer
    x = 1,317.07

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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.