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Finding the Fourth Proportional to 3,161.79, 4,742.14 and 852.75

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Solution

The fourth proportional to 3,161.79, 4,742.14 and 852.75 is: 1,278.98

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.79 : 4,742.14 = 852.75 : x
  2. Step 2: Convert to fraction form
    3,161.79/4,742.14 = 852.75/x
  3. Step 3: Cross multiply
    3,161.79x = 4,742.14 × 852.75
  4. Step 4: Simplify right side
    3,161.79x = 4,043,859.89
  5. Step 5: Solve for x
    x = 4,043,859.89/3,161.79
  6. Step 6: Final answer
    x = 1,278.98

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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.