Home / 3,163.19-4,744.97-971.94

Finding the Fourth Proportional to 3,163.19, 4,744.97 and 971.94

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Solution

The fourth proportional to 3,163.19, 4,744.97 and 971.94 is: 1,457.97

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.19 : 4,744.97 = 971.94 : x
  2. Step 2: Convert to fraction form
    3,163.19/4,744.97 = 971.94/x
  3. Step 3: Cross multiply
    3,163.19x = 4,744.97 × 971.94
  4. Step 4: Simplify right side
    3,163.19x = 4,611,826.14
  5. Step 5: Solve for x
    x = 4,611,826.14/3,163.19
  6. Step 6: Final answer
    x = 1,457.97

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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.