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Finding the Fourth Proportional to 3,811.90, 5,718.42 and 1,215.42

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Solution

The fourth proportional to 3,811.90, 5,718.42 and 1,215.42 is: 1,823.31

Step by Step Solution

  1. Step 1: Write the proportion equation
    3,811.90 : 5,718.42 = 1,215.42 : x
  2. Step 2: Convert to fraction form
    3,811.90/5,718.42 = 1,215.42/x
  3. Step 3: Cross multiply
    3,811.90x = 5,718.42 × 1,215.42
  4. Step 4: Simplify right side
    3,811.90x = 6,950,282.04
  5. Step 5: Solve for x
    x = 6,950,282.04/3,811.90
  6. Step 6: Final answer
    x = 1,823.31

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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.