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Finding the Fourth Proportional to 3,163.36, 4,745.74 and 972.31

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Solution

The fourth proportional to 3,163.36, 4,745.74 and 972.31 is: 1,458.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.36 : 4,745.74 = 972.31 : x
  2. Step 2: Convert to fraction form
    3,163.36/4,745.74 = 972.31/x
  3. Step 3: Cross multiply
    3,163.36x = 4,745.74 × 972.31
  4. Step 4: Simplify right side
    3,163.36x = 4,614,330.46
  5. Step 5: Solve for x
    x = 4,614,330.46/3,163.36
  6. Step 6: Final answer
    x = 1,458.68

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1.5x scale

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.