Home / 3,163.60-4,745.28-972.27

Finding the Fourth Proportional to 3,163.60, 4,745.28 and 972.27

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Solution

The fourth proportional to 3,163.60, 4,745.28 and 972.27 is: 1,458.37

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.60 : 4,745.28 = 972.27 : x
  2. Step 2: Convert to fraction form
    3,163.60/4,745.28 = 972.27/x
  3. Step 3: Cross multiply
    3,163.60x = 4,745.28 × 972.27
  4. Step 4: Simplify right side
    3,163.60x = 4,613,715.43
  5. Step 5: Solve for x
    x = 4,613,715.43/3,163.60
  6. Step 6: Final answer
    x = 1,458.37

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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.