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Finding the Fourth Proportional to 3,614.54, 5,421.80 and 878.54

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Solution

The fourth proportional to 3,614.54, 5,421.80 and 878.54 is: 1,317.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,614.54 : 5,421.80 = 878.54 : x
  2. Step 2: Convert to fraction form
    3,614.54/5,421.80 = 878.54/x
  3. Step 3: Cross multiply
    3,614.54x = 5,421.80 × 878.54
  4. Step 4: Simplify right side
    3,614.54x = 4,763,268.17
  5. Step 5: Solve for x
    x = 4,763,268.17/3,614.54
  6. Step 6: Final answer
    x = 1,317.81

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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.