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Finding the Fourth Proportional to 3,161.53, 4,742.30 and 853.03

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Solution

The fourth proportional to 3,161.53, 4,742.30 and 853.03 is: 1,279.55

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,161.53 : 4,742.30 = 853.03 : x
  2. Step 2: Convert to fraction form
    3,161.53/4,742.30 = 853.03/x
  3. Step 3: Cross multiply
    3,161.53x = 4,742.30 × 853.03
  4. Step 4: Simplify right side
    3,161.53x = 4,045,327.43
  5. Step 5: Solve for x
    x = 4,045,327.43/3,161.53
  6. Step 6: Final answer
    x = 1,279.55

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Similar ratio
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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.