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Finding the Fourth Proportional to 3,614.50, 5,421.75 and 878.50

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Solution

The fourth proportional to 3,614.50, 5,421.75 and 878.50 is: 1,317.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.50 : 5,421.75 = 878.50 : x
  2. Step 2: Convert to fraction form
    3,614.50/5,421.75 = 878.50/x
  3. Step 3: Cross multiply
    3,614.50x = 5,421.75 × 878.50
  4. Step 4: Simplify right side
    3,614.50x = 4,763,007.38
  5. Step 5: Solve for x
    x = 4,763,007.38/3,614.50
  6. Step 6: Final answer
    x = 1,317.75

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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.