Home / 3,163.26-4,744.68-971.80

Finding the Fourth Proportional to 3,163.26, 4,744.68 and 971.80

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Solution

The fourth proportional to 3,163.26, 4,744.68 and 971.80 is: 1,457.64

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.26 : 4,744.68 = 971.80 : x
  2. Step 2: Convert to fraction form
    3,163.26/4,744.68 = 971.80/x
  3. Step 3: Cross multiply
    3,163.26x = 4,744.68 × 971.80
  4. Step 4: Simplify right side
    3,163.26x = 4,610,880.02
  5. Step 5: Solve for x
    x = 4,610,880.02/3,163.26
  6. Step 6: Final answer
    x = 1,457.64

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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.