Home / 3,842-5,764.20-1,376.76

Finding the Fourth Proportional to 3,842, 5,764.20 and 1,376.76

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Solution

The fourth proportional to 3,842, 5,764.20 and 1,376.76 is: 2,065.57

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,842 : 5,764.20 = 1,376.76 : x
  2. Step 2: Convert to fraction form
    3,842/5,764.20 = 1,376.76/x
  3. Step 3: Cross multiply
    3,842x = 5,764.20 × 1,376.76
  4. Step 4: Simplify right side
    3,842x = 7,935,919.99
  5. Step 5: Solve for x
    x = 7,935,919.99/3,842
  6. Step 6: Final answer
    x = 2,065.57

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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.