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Finding the Fourth Proportional to 3,162.96, 4,741.20 and 1,519.80

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Solution

The fourth proportional to 3,162.96, 4,741.20 and 1,519.80 is: 2,278.14

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,162.96 : 4,741.20 = 1,519.80 : x
  2. Step 2: Convert to fraction form
    3,162.96/4,741.20 = 1,519.80/x
  3. Step 3: Cross multiply
    3,162.96x = 4,741.20 × 1,519.80
  4. Step 4: Simplify right side
    3,162.96x = 7,205,675.76
  5. Step 5: Solve for x
    x = 7,205,675.76/3,162.96
  6. Step 6: Final answer
    x = 2,278.14

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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.