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Finding the Fourth Proportional to 3,161.55, 4,742.54 and 971.81

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Solution

The fourth proportional to 3,161.55, 4,742.54 and 971.81 is: 1,457.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.55 : 4,742.54 = 971.81 : x
  2. Step 2: Convert to fraction form
    3,161.55/4,742.54 = 971.81/x
  3. Step 3: Cross multiply
    3,161.55x = 4,742.54 × 971.81
  4. Step 4: Simplify right side
    3,161.55x = 4,608,847.80
  5. Step 5: Solve for x
    x = 4,608,847.80/3,161.55
  6. Step 6: Final answer
    x = 1,457.78

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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.