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Finding the Fourth Proportional to 3,163.19, 4,742.96 and 971.33

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Solution

The fourth proportional to 3,163.19, 4,742.96 and 971.33 is: 1,456.43

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,163.19 : 4,742.96 = 971.33 : x
  2. Step 2: Convert to fraction form
    3,163.19/4,742.96 = 971.33/x
  3. Step 3: Cross multiply
    3,163.19x = 4,742.96 × 971.33
  4. Step 4: Simplify right side
    3,163.19x = 4,606,950.77
  5. Step 5: Solve for x
    x = 4,606,950.77/3,163.19
  6. Step 6: Final answer
    x = 1,456.43

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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.