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Finding the Fourth Proportional to 3,812.91, 5,719.36 and 1,215.84

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Solution

The fourth proportional to 3,812.91, 5,719.36 and 1,215.84 is: 1,823.77

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,812.91 : 5,719.36 = 1,215.84 : x
  2. Step 2: Convert to fraction form
    3,812.91/5,719.36 = 1,215.84/x
  3. Step 3: Cross multiply
    3,812.91x = 5,719.36 × 1,215.84
  4. Step 4: Simplify right side
    3,812.91x = 6,953,847.35
  5. Step 5: Solve for x
    x = 6,953,847.35/3,812.91
  6. Step 6: Final answer
    x = 1,823.77

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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.