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Finding the Fourth Proportional to 3,475.04, 5,212.62 and 878

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Solution

The fourth proportional to 3,475.04, 5,212.62 and 878 is: 1,317.02

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,475.04 : 5,212.62 = 878 : x
  2. Step 2: Convert to fraction form
    3,475.04/5,212.62 = 878/x
  3. Step 3: Cross multiply
    3,475.04x = 5,212.62 × 878
  4. Step 4: Simplify right side
    3,475.04x = 4,576,680.36
  5. Step 5: Solve for x
    x = 4,576,680.36/3,475.04
  6. Step 6: Final answer
    x = 1,317.02

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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.