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Finding the Fourth Proportional to 3,161.80, 4,742.67 and 853.30

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Solution

The fourth proportional to 3,161.80, 4,742.67 and 853.30 is: 1,279.94

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.80 : 4,742.67 = 853.30 : x
  2. Step 2: Convert to fraction form
    3,161.80/4,742.67 = 853.30/x
  3. Step 3: Cross multiply
    3,161.80x = 4,742.67 × 853.30
  4. Step 4: Simplify right side
    3,161.80x = 4,046,920.31
  5. Step 5: Solve for x
    x = 4,046,920.31/3,161.80
  6. Step 6: Final answer
    x = 1,279.94

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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.